<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZVI RETCHKIMAN KÖNIGSBERG</style></author><author><style face="normal" font="default" size="100%">NACHUM DERSHOWITZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE CHURCH THESIS, ITS PROOF, AND THE NOTION OF STABILITY AND STABILIZATION FOR ANALOG ALGORITHMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">03B05</style></keyword><keyword><style  face="normal" font="default" size="100%">03D99</style></keyword><keyword><style  face="normal" font="default" size="100%">68Q01</style></keyword><keyword><style  face="normal" font="default" size="100%">93D05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This work presents the Church thesis, its proof, and the&amp;nbsp;notion of stability and stabilization for analog algorithms. The Church thesis&amp;nbsp;for discrete algorithms motivates us to consider the Church thesis for the case&amp;nbsp;when we are dealing with analog algorithms. Its presentation and proof follows&amp;nbsp;a similar construction to the one given for discrete algorithms. The notions of&amp;nbsp;analog algorithm and dynamical system are postulated to be equivalent. The&amp;nbsp;stability and stabilization concepts for analog algorithms are defined. The&amp;nbsp;stability and stabilization presentation starts concentrating in continuous and&amp;nbsp;discrete dynamical systems i.e., analog algorithms, described by differential or&amp;nbsp;difference equations and continues considering Lyapunov energy functions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">233</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMMENTS ON A ZUBAIR–G FAMILY OF CUMULATIVE LIFETIME DISTRIBUTIONS. SOME EXTENSIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A46</style></keyword><keyword><style  face="normal" font="default" size="100%">68N30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study the one--sided Hausdorff approximation of the shifted Heaviside step function by a class of the Zubair--G family of cumulative lifetime distribution. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ''saturation'' study.&lt;/p&gt;

&lt;p&gt;As an illustrative example we consider the modelling of the growth of red abalone (&lt;em&gt;Haliotis Rufescens&lt;/em&gt;) in Northern California.&lt;/p&gt;

&lt;p&gt;We also look at a possible extension, which we call $\alpha$--Zubair--G Family. For the analysis of said dataset with the new (cdf), some comparisons are made. Finally, the potentiality of the software reliability models analyzed bu means of real dataset. Numerical examples, illustrating our results are presented using programming environment &lt;em&gt;CAS Mathematica&lt;/em&gt;.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MELIKE SIRLANCI</style></author><author><style face="normal" font="default" size="100%">SUSAN E. LUCZAK</style></author><author><style face="normal" font="default" size="100%">I.G. ROSEN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ESTIMATION OF THE DISTRIBUTION OF RANDOM PARAMETERS IN DISCRETE TIME ABSTRACT PARABOLIC SYSTEMS WITH UNBOUNDED INPUT AND OUTPUT: APPROXIMATION AND CONVERGENCE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">abstract parabolic systems</style></keyword><keyword><style  face="normal" font="default" size="100%">distributed parameter systems</style></keyword><keyword><style  face="normal" font="default" size="100%">distribution estimation</style></keyword><keyword><style  face="normal" font="default" size="100%">random parameters</style></keyword><keyword><style  face="normal" font="default" size="100%">regularly dissipative operators</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2019</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">44</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A finite dimensional abstract approximation and convergence&amp;nbsp;theory is developed for estimation of the distribution of random parameters&amp;nbsp;in infinite dimensional discrete time linear systems with dynamics described&amp;nbsp;by regularly dissipative operators and involving, in general, unbounded input&amp;nbsp;and output operators. By taking expectations, the system is re-cast as an&amp;nbsp;equivalent abstract parabolic system in a Gelfand triple of Bochner spaces&amp;nbsp;wherein the random parameters become new space-like variables. Estimating&amp;nbsp;their distribution is now analogous to estimating a spatially varying coefficient&amp;nbsp;in a standard deterministic parabolic system. The estimation problems&amp;nbsp;are approximated by a sequence of finite dimensional problems. Convergence&amp;nbsp;is established using a state space-varying version of the Trotter-Kato semigroup&amp;nbsp;approximation theorem. Numerical results for a number of examples&amp;nbsp;involving the estimation of exponential families of densities for random parameters&amp;nbsp;in a diffusion equation with boundary input and output are presented&amp;nbsp;and discussed.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">287</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Z. EL ALLALI</style></author><author><style face="normal" font="default" size="100%">S. TAARABTI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND MULTIPLICITY OF THE SOLUTIONS FOR THE p(x)-KIRCHHOFF EQUATION VIA GENUS THEORY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B27</style></keyword><keyword><style  face="normal" font="default" size="100%">35B05</style></keyword><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is concerned with the existence and multiplicity&amp;nbsp;of nontrivial weak solutions for a &lt;em&gt;p(x)&lt;/em&gt;-Kirchhoff problem.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;br /&gt;
By using variational approach and Krasnoselskii’s genus theory, we show&amp;nbsp;the existence and multiplicity of the solutions for &lt;em&gt;p(x)&lt;/em&gt;-Kirchhoff equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">79</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MONIQUE DALUD-VINCENT</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GREATEST STRONGLY CONNECTED SUBSPACES OF A NETWORK IN PRETOPOLOGY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">54A05</style></keyword><keyword><style  face="normal" font="default" size="100%">54B05</style></keyword><keyword><style  face="normal" font="default" size="100%">54B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we present properties of greatest strongly connected&amp;nbsp;subspaces in the case of a network (which is defined as a family of&amp;nbsp;pretopologies). The network can be analyse by the union or by the intersection&amp;nbsp;or by the composition of the different pretopologies.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">149</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author><author><style face="normal" font="default" size="100%">TODORKA TERZIEVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NEW ANALYSIS OF CODE RED AND WITTY WORMS BEHAVIOR</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">97N50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2019</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this note we give how can be make a new precise analysis&amp;nbsp;of the situation with spreading of Code Red worm as well Witty worm. These&amp;nbsp;worms were actively spread from 00:00 UTC July 19, 2001 to 00:00 UTC July&amp;nbsp;20, 2001 and on March 19, 2004, at approximately 8:45 p.m. Pacific Standard&amp;nbsp;Time (PST) respectively. Here we give a new way of treating these epidemics&amp;nbsp;using Dagum-II sigmoid function [1]-[7].&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">267</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author><author><style face="normal" font="default" size="100%">TODORKA TERZIEVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NEW ANALYSIS OF CRYPTOLOCKER RANSOMWARE AND WELCHIA WORM PROPAGATION BEHAVIOR. SOME APPLICATIONS. III</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">97N50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2019</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we receive new models that in some situations&amp;nbsp;can be applied to model computer viruses propagation. Welchia worm and&amp;nbsp;Cryptolocker ransomware have a long growing phase in contrast to many other&amp;nbsp;threats. In September 2013 the CryptoLocker malware starting its invasion&amp;nbsp;using mainly P2P ZeuS (aka Gameover ZeuS) malware. CryptoLocker’ main&amp;nbsp;aim was to receive money from the unsuspecting victims for decrypting their&amp;nbsp;files. Welchia worm uses a vulnerability in the Microsoft remote procedure&lt;br /&gt;
call service. Welchia firstly checks for Blaster worm and if it is exists continues&amp;nbsp;with Blaster deletion as well as takes care for computer to be immunised&amp;nbsp;for Blaster worm. Also we modeled Malicious high–risk Android App volume&amp;nbsp;growth; Malware evolution; Number of users attacked by Trojan-Ransom&amp;nbsp;malware; Number of users attacked by cryptoransomware; Number of unique&amp;nbsp;users attacked by Trojan-Ransom.AndroidOS.Fusob; and ”Seasonal data”. As&amp;nbsp;the authors in [3] mention: “Even traffic traces used in research papers (e.g.&amp;nbsp;Slammer [4] and Code-red [5]) are not public. From the published papers [4],&amp;nbsp;[5] we are not able to find parameters that can be used in our model”. Many&amp;nbsp;researchers make a hard efforts to describe adequately situation connected to&amp;nbsp;worm propagation [15]–[63].&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">359</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LORENA BOCIU</style></author><author><style face="normal" font="default" size="100%">MARCELLA NOORMAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PORO-VISCO-ELASTIC MODELS IN BIOMECHANICS: SENSITIVITY ANALYSIS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B44</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q74</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The main goal of this work is to numerically investigate the&amp;nbsp;sensitivity of biomechanical responses of deformable, porous media to applied&amp;nbsp;external loads. Fluid flows through deformable porous media are relevant for&amp;nbsp;many applications in biology, medicine and bioengineering, like perfusion of&amp;nbsp;tissues in the human body, or fluid flows inside cartilages, bones, and engineered&amp;nbsp;tissue scaffolds. Sensitivity analysis provides valuable insights about&amp;nbsp;how robust the system is with respect to changes in parameters and data&amp;nbsp;and reveals which ones are the most influential for the solutions, and could&amp;nbsp;potentially be used as control agents.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">61</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANDREY ANTONOV</style></author><author><style face="normal" font="default" size="100%">SVETOSLAV NENOV</style></author><author><style face="normal" font="default" size="100%">TSVETELIN TSVETKOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PREY-PREDATOR TRIDIAGONAL 4-DIMENSIONAL MODELS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C05</style></keyword><keyword><style  face="normal" font="default" size="100%">34C07</style></keyword><keyword><style  face="normal" font="default" size="100%">34C40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The prey-predator Lotka-Volterra models are some of the&amp;nbsp;most popular mathematical models in biology and chemistry and they are in&amp;nbsp;fact the first abstract models to analyze cooperativity, oscillatory behavior,&amp;nbsp;and spaces synchronization at large scale of biochemistry, biomolecular, and&amp;nbsp;medical interactions models.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;In the article we will consider 4-dimensional tridiagonal Lotka-Volterra&amp;nbsp;models. We determine some criteria for existence of first integrals of the&amp;nbsp;systems.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We also discuss some differences of some properties of tridiagonal Lotka-Volterra models based on the parity of dimensions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">51</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RINA B. ZAMORA</style></author><author><style face="normal" font="default" size="100%">MICHAEL P. BALDADO JR.</style></author><author><style face="normal" font="default" size="100%">ROBERTO N. PADUA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">RAINBOW CONNECTION NUMBER OF SOME WHEEL-RELATED GRAPHS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">05C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Let $f:E(G)\rightarrow\{1,2,...,k\}$ be an edge coloring of $G$, not necessarily proper. A path $P$ in $G$ is called a rainbow path if its edges have distinct colors. A graph $G$ is said to be rainbow-connected, if every two distinct vertices of $G$ is connected by a rainbow path. In this case, we say that $f$ is a rainbow $k$-coloring of $G$. The smallest $k$ such that $G$ has a rainbow $k$-coloring is called the rainbow connection number of $G$, denoted by $rc(G)$.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;This study gave the rainbow connection number of lotus inside a circle, helms and sunflower graphs.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">31</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ELVAN AKIN</style></author><author><style face="normal" font="default" size="100%">OZKAN OZTURK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON VOLTERRA-INTEGRO DYNAMICAL SYSTEMS ON TIME SCALES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34N05</style></keyword><keyword><style  face="normal" font="default" size="100%">39A13</style></keyword><keyword><style  face="normal" font="default" size="100%">39A60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2019</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/23/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">23</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we classify nonoscillatory solutions of a two&amp;nbsp;dimensional nonlinear Volterra-integro time scale system and also provide sufficient&amp;nbsp;conditions for the existence of such solutions via the Knaster fixed point&amp;nbsp;theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">21</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NIKOLAY PAVLOV</style></author><author><style face="normal" font="default" size="100%">ANTON ILIEV</style></author><author><style face="normal" font="default" size="100%">ASEN RAHNEV</style></author><author><style face="normal" font="default" size="100%">NIKOLAY KYURKCHIEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPLICATION OF A NEW CLASS CUMULATIVE LIFETIME DISTRIBUTION TO SOFTWARE RELIABILITY ANALYSIS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A46</style></keyword><keyword><style  face="normal" font="default" size="100%">68N30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we consider the application of a a new class&amp;nbsp;of cumulative distribution function proposed by Ramos, Dey, Louzada and&amp;nbsp;Lachos in [9] to the debugging theory.&amp;nbsp;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We study the Hausdorff approximation of the shifted Heaviside step function by this family.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;Numerical examples, illustrating our results are presented using programming environment Mathematica.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We give also real examples with data provided in [30] using the new software reliability model. Dataset included [31] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">555</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MUHAMMAD N. ISLAM</style></author><author><style face="normal" font="default" size="100%">JEFFREY T. NEUGEBAUER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC STABILITY OF FUNCTIONAL EQUATIONS BY FIXED POINT THEOREMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;For many years, Liapunov’s direct method has been the primary technique for studying various stability also known as ‘Liapunov stability’ of functional differential equations. Recently, it has been noticed that&amp;nbsp;some difficulties can arise when Liapunov’s method is applied to certain equations, and that a suitable fixed point theorem can overcome some of these&amp;nbsp;difficulties. In this paper we study a particular stability which differs from the&amp;nbsp;Liapunov stability. In particular, we study the existence of asymptotically stable solutions of a system of nonlinear Volterra integral equations. We employ&amp;nbsp;a fixed point theorem due to Krasnosel’skii in the analysis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">611</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. VIVEK</style></author><author><style face="normal" font="default" size="100%">K. KANAGARAJAN</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE BEHAVIOR OF SOLUTIONS OF HILFER-HADAMARD TYPE FRACTIONAL NEUTRAL PANTOGRAPH EQUATIONS WITH BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/22/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the dynamics and stability of Hilfer-Hadamard type fractional neutral pantograph equations with boundary conditions using Schaefer’s fixed point theorem. In addition, we discuss Ulam&amp;nbsp;stability of the system by employing Banach contraction principle.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">211</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SIRAJO YAHAYA</style></author><author><style face="normal" font="default" size="100%">IBRAHIM ALIYU FULATAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BEST PROXIMITY POINTS FOR GENERALIZED CYCLIC CONTRACTION MAPPINGS</style></title><secondary-title><style face="normal" font="default" size="100%">Generalized Cyclic Contraction Mappings</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">best proximity point</style></keyword><keyword><style  face="normal" font="default" size="100%">contraction mapping</style></keyword><keyword><style  face="normal" font="default" size="100%">cyclic mappings</style></keyword><keyword><style  face="normal" font="default" size="100%">MT-function</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/22/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, by using the concept of MT-function, a notion of generalized cyclic contraction mapping is introduced and best proximity point theorems for such mapping is established in the framework of metric spaces. We also provide example illustrating the obtained results.&lt;/p&gt;

&lt;p class=&quot;rteright&quot;&gt;This paper is dedicated to Professor A. A. Tijjani&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">19</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">E.J. ALLEN</style></author><author><style face="normal" font="default" size="100%">B.B.U.P. PERERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BIOLOGICAL AGING MODELED WITH STOCHASTIC DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34F05</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">92C30</style></keyword><keyword><style  face="normal" font="default" size="100%">92D25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A family of stochastic differential equation (SDE) models is derived and studied for the aging of biological organisms. The SDE aging models give meaningful mathematical interpretations of the aging process, rate of aging, and maximum age. For the SDE models, the first passage time gives the time to death. Probability densities of first passage times are derived for the SDE models yielding theoretical death event densities. The derived death event probability densities are fitted, using maximum likelihood estimation, to several different mortality table datasets. Mortality data for humans, wild sheep, grasshoppers, and fruit flies are considered. The results of fitting the mortality data indicate that the rate of aging for humans and many other animals undergoes an increase at some point in time.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">271</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">EDWARD ALLEN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDS ON MEAN EXIT TIME FOR PURELY TIME-DEPENDENT DRIFT AND DIFFUSION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34F05</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">92D25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The mean first exit time is studied for the one-dimensional&amp;nbsp;problem with one-sided exit and purely time-dependent drift and diffusion.&amp;nbsp;Exact mean exit times are derived when the drift coefficient is constant and&amp;nbsp;the diffusion coefficient is bounded. When the drift and diffusion coefficients&amp;nbsp;both vary with time, bounds on mean first exit time are derived. Examples&amp;nbsp;are described that illustrate the usefulness of the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">597</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KULDIP RAJ</style></author><author><style face="normal" font="default" size="100%">CHARU SHARMA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CONNECTION BETWEEN INFINITE MATRIX AND SEMINORM TO ORIGINATE ORLICZ VECTOR VALUED SEQUENCE SPACES AND THEIR STATISTICAL CONVERGENCE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">40A05</style></keyword><keyword><style  face="normal" font="default" size="100%">40A35</style></keyword><keyword><style  face="normal" font="default" size="100%">46C45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In the present paper we introduce and study some vector valued sequence spaces by using infinite matrix, seminorm and a sequence of Orlicz functions with real n-normed space as base space. We make an effort to study some topological and algebraic properties of these spaces. We also show that these spaces are complete paranormed spaces when the base space is n-Banach space and investigate some inclusion relations between the spaces. Finally, we study statistical convergence of these spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">163</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. VIJAYASHREE</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DISTRIBUTION FREE CONTINUOUS-REVIEW INVENTORY MODEL WITH A SERVICE LEVEL CONSTRAINT USING PIECEWISE LINEAR LEAD TIME CRASHING COST</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword><keyword><style  face="normal" font="default" size="100%">90C25</style></keyword><keyword><style  face="normal" font="default" size="100%">90C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we have framed a continuous-review model (Q, R, L) inventory model with service level constraint. Lead time is becoming more and more vital for industry, in particular for style supply chains, which has appealed more and more researchers and businessmen’s notice. The length of lead time represents speed and service level. In this paper, lead time is controllable and the compressing cost of lead time follows piecewise linear function. The main contribution of this proposed model is to find minimizing the total cost. A mathematical model is developed to obtain an improved result. An efficient iterative algorithm is designed to obtain the optimal solution of the order quantity, safety stock and lead time. Furthermore, numerical examples are used to demonstrate the benefits of the model by using Matlab 2008 sofware. Sensitivity analysis of the optimal solution with respect to major parameters is carried out and managerial implications are also incorporated. Graphical representation is presented to show the convexity of the total cost.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">245</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V.N. DUMACHEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EIGHT-FOLDS OF COMPLETE INTERSECTION CALABI-YAU</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">14J32</style></keyword><keyword><style  face="normal" font="default" size="100%">14J40</style></keyword><keyword><style  face="normal" font="default" size="100%">14Q10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In paper a complete intersection Calabi-Yau 8-folds are considered.&amp;nbsp;Their Hodge diamond, Todd classes and Chern characters for sheaves&amp;nbsp;of differential k-forms are calculated.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">447</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">OUADIE KOUBAITI</style></author><author><style face="normal" font="default" size="100%">JAOUAD EL-MEKKAOUI</style></author><author><style face="normal" font="default" size="100%">AHMED ELKHALFI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ELASTICITY WITH MIXED FINITE ELEMENT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">74S05</style></keyword><keyword><style  face="normal" font="default" size="100%">78M10</style></keyword><keyword><style  face="normal" font="default" size="100%">80M10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this article we are intending to solve the Navier-Lame problem in 2D with Dirichlet and Neumann boundaries, using the mixed finite element P&lt;sup&gt;1&lt;/sup&gt; -bubble P&lt;sup&gt;1&lt;/sup&gt;. We want to introduce a new weak formulation of this problem with help of another new unknown which is equal to divergence of the displacement. We do the necessary calculations of this problem in order to come up with a Matlab program that visualizes the numerical solution.Some numerical results which are shown, prove that our method is more efficient than the ordinary finite element.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">493</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D.B. DHAIGUDE</style></author><author><style face="normal" font="default" size="100%">SANDEEP P. BHAIRAT</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS OF SOLUTION OF CAUCHY-TYPE PROBLEM FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">CAUCHY-TYPE PROBLEM FOR HILFER FRACTIONAL EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/22/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The Cauchy-type problem for a nonlinear differential equation involving Hilfer (generalized Riemann-Liouville) fractional derivative is&amp;nbsp;considered. The equivalence between this Cauchy-type problem and a nonlinear Volterra integral equation in the space of weighted continuous functions&amp;nbsp;is established. Using this result, existence, uniqueness and continuous dependence of solution for Cauchy-type problem are obtained by using successive&amp;nbsp;approximations and the generalized Gronwall inequality.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">121</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RABIAA AOUAFI</style></author><author><style face="normal" font="default" size="100%">NACER ADJEROUD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A MULTI-TERM NONLINEAR SEQUENTIAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH TREE-POINT BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study a new class of boundary value problems of multiterm nonlinear sequential fractional integro-differential equations with three-point nonlocal fractional boundary conditions. Some existence and uniqueness&lt;br /&gt;
results are obtained by using standard fixed point theorems. An example is&amp;nbsp;given to illustrate our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">473</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KHELIFA DAOUDI</style></author><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">ABDELGHNAI OUAHAB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SOME NEUTRAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">05/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/22/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with&amp;nbsp;state-dependent delays. We assume that the linear part generates a strongly&amp;nbsp;&lt;br /&gt;
continuous semigroup on a general Banach space.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">333</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JAFFAR ALI</style></author><author><style face="normal" font="default" size="100%">SESHADEV PADHI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">35J08</style></keyword><keyword><style  face="normal" font="default" size="100%">35J25</style></keyword><keyword><style  face="normal" font="default" size="100%">35J57</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we use Leggett-Williams multiple fixed point theorems to obtain &amp;nbsp;sufficient conditions for the existence of at least one or &amp;nbsp;two positive radial solutions of the equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$-\Delta u=\lambda g(|x|)f(u), \,\,\, R_{1}&amp;lt;|x|&amp;lt;R_{2},$$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;$x \in R^{N}, \, N \geq 2$ subject to a linear mixed boundary condition at $R_{1}$ and $R_{2}$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">695</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DAHMANE BOUAFIA</style></author><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">TOUFIK MOUSSAOUI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF SOLUTIONS FOR A PERTURBED SECOND ORDER PROBLEM ON THE HALF-LINE VIA EKELAND’S VARIATIONAL PRINCIPLE</style></title><secondary-title><style face="normal" font="default" size="100%">EXISTENCE OF SOLUTIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, the authors discuss the existence of nontrivial&amp;nbsp;solutions to a perturbed second order problem on the half-line. The Ekeland&amp;nbsp;variational principle plays an essential role in the proof.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">383</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ATHAR KASHIRI</style></author><author><style face="normal" font="default" size="100%">GHASEM A. AFROUZI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF THREE SOLUTIONS FOR PERIODIC AND NEUMANN PROBLEMS INVOLVING THE DISCRETE p(·)-LAPLACIAN OPERATOR WITH TWO CONTROL PARAMETERS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">35B20</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A70</style></keyword><keyword><style  face="normal" font="default" size="100%">46E39</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, using the critical point theory, we study the existence of at least three solutions for periodic and Neumann problems involving the discrete p(·)-Laplacian operator depending on two control parameters.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">531</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">U.A. ABASIEKWERE</style></author><author><style face="normal" font="default" size="100%">I.M. ESUABANA</style></author><author><style face="normal" font="default" size="100%">I.O. ISAAC</style></author><author><style face="normal" font="default" size="100%">Z. LIPSCEY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE THEOREM FOR LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL EQUATIONS OF THE SECOND ORDER</style></title><secondary-title><style face="normal" font="default" size="100%">LINEAR NEUTRAL IMPULSIVE EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we consider the second order linear neutral&amp;nbsp;impulsive differential equation of the form&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$ \left\{\begin{array}{ll} \left[y\left(t\right)- p y\left(t-\tau \right)\right]^{{''} } + q\left(t\right)y\left(g\left(t\right)\right) = 0, &amp;amp;\quad t\ne t_{k},\\ \Delta \left[y\left(t_{k} \right)- p y\left(t_{k} -\tau \right)\right]^{{'} } + q_{k} y\left(g\left(t_{k} \right)\right) = 0, &amp;amp;\quad \forall t=t_{k} , \end{array}\right. $$&lt;/p&gt;

&lt;p&gt;where $p\in R$, $ q_{k} \ge 0$, $ q \in P C \left(\left[t_{0} ,\infty \right), R_{+} \right)$, $ g\in C\left(\left[t_{0} ,\infty \right), R\right)$, $ \mathop{\lim }\limits_{t\to \infty } g \left(t\right)= \infty ,$ $\tau &amp;gt;0.$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We establish conditions for the existence of a positive solution with asymptotic decay by defining a map which satisfies the assumptions of Krasnoselkii’s fixed point theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">135</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JULIETA BOLLATI</style></author><author><style face="normal" font="default" size="100%">DOMINGO TARZIA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXPLICIT SOLUTION FOR THE ONE-PHASE STEFAN PROBLEM WITH LATENT HEAT DEPENDING ON THE POSITION AND A CONVECTIVE BOUNDARY CONDITION AT THE FIXED FACE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35C05</style></keyword><keyword><style  face="normal" font="default" size="100%">35R35</style></keyword><keyword><style  face="normal" font="default" size="100%">80A22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;An explicit solution of a similarity type is obtained for a onephase Stefan problem in a semi-infinite material using Kummer functions. It is considered a phase-change problem with a latent heat defined as a power function of the position with a non-negative real exponent and a convective boundary condition at the fixed face ${ \ x=0 }$. Existence and uniqueness of the solution is proved. Relationship between this problem and the problems with temperature and flux boundary condition is also analysed. Furthermore it is studied the limit behaviour of the solution when the coefficient which characterizes the heat transfer at the fixed boundary tends to infinity. Computing this limit allows to demonstrate that the problem proposed in this paper with a convective boundary condition generalizes the problem with Dirichlet boundary condition. Numerical computation of the solution is done over certain examples, with a view to comparing this results with those obtained by general algorithms that solve Stefan problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">309</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RUOJUN ZHANG</style></author><author><style face="normal" font="default" size="100%">JINGJING ZHANG</style></author><author><style face="normal" font="default" size="100%">CHUNYU YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR AN IMPULSIVE LASOTA-WAZEWSKA MODEL WITH DELAYS</style></title><secondary-title><style face="normal" font="default" size="100%">IMPULSIVE LASOTA-WAZEWSKA MODEL</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">34D23</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/22/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we consider a class of non-autonomous impulsive Lasota-Wazewska model with delays. First, the equivalent relation&amp;nbsp;between the solution (or positive periodic solution) of the Lasota-Wazewska&lt;br /&gt;
delayed model with impulsive effects and that of a corresponding delayed&amp;nbsp;Lasota-Wazewska model without impulsive effects is established. Then, by&amp;nbsp;applying algebraic inequalities and Laypunov functional method, some sufficient conditions for the existence and global exponential stability of positive&amp;nbsp;periodic solution of addressed model are given. Finally, an example and its numerical simulation are provided to illustrate the effectiveness of the theoretical&amp;nbsp;results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">147</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOHAMMAD REZA FARAHANI</style></author><author><style face="normal" font="default" size="100%">SHAOHUI WANG</style></author><author><style face="normal" font="default" size="100%">WEI GAO</style></author><author><style face="normal" font="default" size="100%">BING WEI</style></author><author><style face="normal" font="default" size="100%">MUHAMMAD KAMRAN JAMIL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE HOSOYA, SCHULTZ AND MODIFIED SCHULTZ POLYNOMIALS OF A CLASS OF DUTCH WINDMILL GRAPH D(m)n, ∀ n,m ∈ N &amp; n ≥ 4, m ≥ 2</style></title><secondary-title><style face="normal" font="default" size="100%">The Hosoya, Schultz and Modified Schultz polynomials</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">05C05</style></keyword><keyword><style  face="normal" font="default" size="100%">05C12</style></keyword><keyword><style  face="normal" font="default" size="100%">05C15</style></keyword><keyword><style  face="normal" font="default" size="100%">05C31</style></keyword><keyword><style  face="normal" font="default" size="100%">05C69</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;It’s shown by a large number of studies that strong inner bound exists between the chemical characteristics of nano structures and their molecular structures. The material scientists can achieve a better knowledge of their chemical and biological features, if they take the degree-based topological indices on chemical molecular structures into consideration, which will also contribute to making up the shortage of chemical experiments. In this paper, by means of structure analysis and mathematical derivation, the Hosoya, Schultz and modified Schultz polynomials of Dutch windmill graph D (m) n are obtained.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">43</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author><author><style face="normal" font="default" size="100%">S. THARANI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN INVENTORY MODEL FOR DETERIORATING PHARMACEUTICAL ITEMS WITH TIME DEPENDENT DEMAND UNDER COMPLETE BACKLOGGING</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">97M60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A high level of service for medical supplies and effective inventory policies are essential objectives for all health care industries. Medicine shortages and improper use of pharmaceuticals can not only lead to financial losses but also have a significant impact on patients. Many health systems and hospitals experience difficulties in achieving these goals as they have not addressed how medicines are managed, supplied, and used to save lives and improve health. Studies are essential to understand operations in health care industries and to offer decision support tools that improve health policy, public health, patient safety, and strategic decision-making in the pharmaceutical inventory model. We present a deterministic inventory model for pharmaceutical items having time dependent quadratic demand under the effect of deterioration. We develop a procedure for determining optimal solutions for inventory and the number of deliveries to achieve hospital (Customer Service Level) CSL targets with a minimum total cost of the system. The necessary and sufficient conditions for the existence and uniqueness of the optimal solution which could minimize the average total cost per unit time has been discussed. A numerical example illustrates the model application and behavior using MATLAB.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">511</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AHMED NASRI</style></author><author><style face="normal" font="default" size="100%">AMMAR BOUKHEMIS</style></author><author><style face="normal" font="default" size="100%">FRANCISCO MARCELLÁN ESPAÑOL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LINEAR COMBINATIONS OF 2-ORTHOGONAL POLYNOMIALS: GENERATION AND DECOMPOSITION PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">LINEAR COMBINATIONS OF 2-ORTHOGONAL POLYNOMIALS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">33C45</style></keyword><keyword><style  face="normal" font="default" size="100%">42C05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/22/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this work we are interested in the study of the $2$-orthogo\-nality of&amp;nbsp;sequences of monic $2$-orthogonal polynomials $\left \{ P_{n}\right \}&amp;nbsp;_{n\geq \text{ }\text{ }0}$ and $\left \{ Q_{n}\right \} _{n\geq 0}$&amp;nbsp;satisfying the relation $Q_{n+1}(x)=P_{n+1}(x)+\alpha _{n+1}P_{n}(x),$ $n\geq $ $0,$where $\alpha _{n},$ $n\geq $ $1,$ are nonzero complex numbers.&amp;nbsp;The sequence $\left \{ Q_{n}\right \} _{n\geq 0}$ is said to be generated&amp;nbsp;with $2$ terms of the sequence $\left \{ P_{n}\right \} _{n\geq 0}$ and the&amp;nbsp;sequence $\left \{ P_{n}\right \} _{n\geq 0}$ is said to be a decomposition&amp;nbsp;of the sequence $\left \{ Q_{n}\right \} _{n\geq 0}$ with $2$ terms. First,&amp;nbsp;we give necessary and sufficient conditions for the $2$-orthogonality of the&amp;nbsp;sequence $\left \{ Q_{n}\right \} _{n\geq 0}$ assuming the $2$-orthogonality&amp;nbsp; &amp;nbsp;of the sequence $\left \{ P_{n}\right \} _{n\geq 0}.$ Second, assuming the&amp;nbsp;sequence $\left \{ Q_{n}\right \} _{n\geq 0}$ is $2$-orthogonal we get&amp;nbsp;necessary and sufficient conditions for the existence of a sequence $\left&amp;nbsp;\{ P_{n}\right \} _{n\geq 0}$ satisfying the above relation and such&amp;nbsp;that it is $2$ orthogonal. Indeed, we characterize the $2$-orthogonality of&amp;nbsp;these sequences in terms of the coefficients of the corresponding four term r\'{e}currence relations. Next, we study our problem as an inverse problem&amp;nbsp;&amp;nbsp;for $2$-monic orthogonal polynomials. Furthermore, the relation between the&amp;nbsp;&amp;nbsp;banded Hessenberg matrices associated with the multiplication operator in&amp;nbsp;&amp;nbsp;terms of \pagebreak the bases $\left \{ P_{n}\right \} _{n\geq 0}$ and $\left \{&amp;nbsp;Q_{n}\right \} _{n\geq 0}$ is analyzed. Finally, we give many examples of&amp;nbsp;&amp;nbsp;such related $2$-orthogonal polynomial sequences.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">97</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MANAL BADGAISH</style></author><author><style face="normal" font="default" size="100%">JENG-ENG LIN</style></author><author><style face="normal" font="default" size="100%">PADMANABHAN SESHAIYER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MATHEMATICAL ANALYSIS AND SIMULATION OF A COUPLED NONLINEAR FLUID STRUCTURE INTERACTION MODEL WITH APPLICATIONS TO ANEURYSMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65M12</style></keyword><keyword><style  face="normal" font="default" size="100%">65P40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this work, we will present a mathematical model that&amp;nbsp;describes a coupled fluid-structure interaction between the arterial wall, the&amp;nbsp;blood flow inside the wall and the cerebral spinal fluid outside the wall with&amp;nbsp;applications to intracranial saccular aneurysms. The governing system of differential&amp;nbsp;equations includes a nonlinear power-law fluid equation coupled with&amp;nbsp;a nonlinear elasticity equation describing the wall in conjunction with blood&amp;nbsp;pressure that is modeled via a Fourier series. The thrust of this work involves&amp;nbsp;the analysis and simulation of the associated mathematical model using classical&amp;nbsp;differential equation techniques. Besides proving existence and uniqueness&amp;nbsp;of the solution to the related system, analytical expressions for the associated&amp;nbsp;traveling wave solutions for the governing nonlinear differential equation is&amp;nbsp;also derived for a special class of problems that is biologically tractable.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">637</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZVI RETCHKIMAN KÖNIGSBERG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MODELLING AND VERIFICATION ANALYSIS OF THE BIOLOGICAL INTERACTION BETWEEN SPECIES VIA A MODAL LOGIC APPROACH</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">08A99</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">93D35</style></keyword><keyword><style  face="normal" font="default" size="100%">93D99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper addresses the interactions, among organisms of&amp;nbsp;the same or different species associated with the need for a common resource&amp;nbsp;that occurs in a limited supply relative to demand. If two competitors try&amp;nbsp;to occupy the same realized niche, one species will try to eliminate the other.&amp;nbsp;Therefore, two cases are worth to be considered. On the one hand, there is&amp;nbsp;a need to cooperate sharing part of the resource so that both organisms will&amp;nbsp;benefit from it. On the other hand, if one of the two species is stronger than&amp;nbsp;the other, there will be no cooperation and the strongest species will impose its&amp;nbsp;conditions. In the study of this interaction Lotka-Volterra models have been&amp;nbsp;used. Other non-classical methodologies as Petri nets and first order logic have&amp;nbsp;been employed too. In this work, the biological competition problem between&amp;nbsp;species is modelled as a modal logic formula. Then, using the concept of logic&amp;nbsp;implication, and transforming this logical implication relation into a set of&amp;nbsp;clauses, a modal resolution qualitative method for verification (satisfiability)&amp;nbsp;as well as performance issues, for some queries is applied.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">459</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">R. NWAEZE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NEW INTEGRAL INEQUALITIES ON TIME SCALES WITH APPLICATIONS TO THE CONTINUOUS AND DISCRETE CALCULUS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">NEW INTEGRAL INEQUALITIES ON TIME SCALES...</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">54C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/22/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we present some new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Our results generalize many other results in the literature. Besides generalization, we also obtain some interesting inequalities by considering special cases of time scales.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DMITRIY DMITRISHIN</style></author><author><style face="normal" font="default" size="100%">ELENA FRANZHEVA</style></author><author><style face="normal" font="default" size="100%">IONUT E. IACOB</style></author><author><style face="normal" font="default" size="100%">ALEX STOKOLOS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OPTIMAL SEARCH FOR NONLINEAR DISCRETE SYSTEMS CYCLES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword><keyword><style  face="normal" font="default" size="100%">93C55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">32</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider a classical problem of stabilization of a priori&amp;nbsp;unknown unstable periodic orbits in nonlinear autonomous discrete dynamical&amp;nbsp;systems. A new approach was suggested in [11], where a nonlinear delay&amp;nbsp;feedback control (DFC) scheme with apparently optimal gain was introduced.&amp;nbsp;The optimality criteria in [11] were stated in terms of the size of the convergence&amp;nbsp;region for the system multipliers. In numerical simulations it turns out&amp;nbsp;that the optimal coefficients (in the above sense) produce slowly convergent&amp;nbsp;recurrences. In this paper we suggest a generalization of the formulas from&amp;nbsp;[11] to improve the rate of convergence while preserving stability. The subtlety&amp;nbsp;of the problem is illustrated in numerous numerical simulations examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">663</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SHYAM S. SANTRA</style></author><author><style face="normal" font="default" size="100%">ARUN K. TRIPATHY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF UNFORCED IMPULSIVE NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF FIRST ORDER</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this work, we study the oscillatory behavior of solutions of a&amp;nbsp;class of first order impulsive neutral delay differential&amp;nbsp;equations of the form&lt;br /&gt;
$$ (y(t)-p(t)y(t-\tau))' + q(t)G(y(t-\sigma))=0,\quad t\neq t_k,\;t \geq t_0&amp;nbsp;$$&lt;br /&gt;
$$ \Delta y(t_k)=y(t^+_k)-y(t_k)=b_ky(t_k), \quad k=1,2,3, $$&lt;br /&gt;
$$ \Delta y(t_k-\tau)=y(t^+_k-\tau)-y(t_k-\tau)=b_ky(t_k-\tau),\quad k=1,2,3,\cdots $$&lt;br /&gt;
for all $p(t)$ with $|p(t)|&amp;lt;\infty$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">567</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Xiguang Li</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR SYSTEMS OF NONLINEAR FOURTH-ORDER DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, by constructing a special set and utilizing fixed point theory, we study the existence of positive solutions for systems of nonlinear fourth-order differential equations with p-laplacian, which improved and generalized the result of related paper.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">295</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.G. MEDHIN</style></author><author><style face="normal" font="default" size="100%">REHA UZSOY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PRODUCTION PLANNING AND ENGINEERING PROCESS IMPROVEMENT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">engineering process</style></keyword><keyword><style  face="normal" font="default" size="100%">optimal control model</style></keyword><keyword><style  face="normal" font="default" size="100%">structural results</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The authors present an optimal control model to allocated&amp;nbsp;equipment capacity between production that generates immediate revenue and&amp;nbsp;engineering process improvement activity that results in increased future output. The benefit of engineering activity is modeled as a concave function of&amp;nbsp;the total number of engineering lots processed to date, while the production&amp;nbsp;facility is represented by a nonlinear clearing function capturing the nonlinear relationship between resource utilization and cycle time. We analyze the&amp;nbsp;model to develop structural results and illustrates its behavior with numerical&amp;nbsp;experiments.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">583</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">H.T. BANKS</style></author><author><style face="normal" font="default" size="100%">K.B. FLORES</style></author><author><style face="normal" font="default" size="100%">I.G. ROSEN</style></author><author><style face="normal" font="default" size="100%">E.M. RUTTER</style></author><author><style face="normal" font="default" size="100%">MELIKE SIRLANCI</style></author><author><style face="normal" font="default" size="100%">W. CLAYTON THOMPSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE PROHOROV METRIC FRAMEWORK AND AGGREGATE DATA INVERSE PROBLEMS FOR RANDOM PDEs</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A55</style></keyword><keyword><style  face="normal" font="default" size="100%">46S50</style></keyword><keyword><style  face="normal" font="default" size="100%">62G07</style></keyword><keyword><style  face="normal" font="default" size="100%">93E24</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">32</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider nonparametric estimation of probability measures for parameters in problems where only aggregate (population level) data are available. We summarize an existing computational method for the estimation problem which has been developed over the past several decades \cite{BaBi,BBPP,BF,BHT2014,BKTReview}. &amp;nbsp;Theoretical results are presented which establish the existence and consistency of very general (ordinary, generalized and other) least squares estimates and estimators for the measure estimation problem with specific application to random PDEs.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">415</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. IRANMANESH</style></author><author><style face="normal" font="default" size="100%">F. SOLEIMANY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SIMULTANEOUS FARTHEST POINTS AND NORM DERIVATIVES IN BANACH SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A28</style></keyword><keyword><style  face="normal" font="default" size="100%">46B28</style></keyword><keyword><style  face="normal" font="default" size="100%">46L05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we present various characterizations of the simultaneous farthest point of elements by bounded sets in normed spaces. First, we express short proofs for previous results. We did this work by using norm derivatives method. Then we extend to C&lt;sup&gt;∗&lt;/sup&gt;- algebras some results on the simultaneous farthest point that found in B (H) the algebra of all bounded operators on a Hilbert space by applying of the concept of numerical rang and Gelfand-Naimark theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">233</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SELMA KOUICEM</style></author><author><style face="normal" font="default" size="100%">WIDED CHIKOUCHE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SINGULARITY COEFFICIENTS OF THE BIHARMONIC PROBLEM WITH MIXED BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we consider a problem with mixed boundary conditions for the biharmonic equation in a sector. We represent the solution in a series and using an appropriate Green’s formula, we calculate the coefficients of the development and prove its convergence.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">369</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V.I. SLYN'KO</style></author><author><style face="normal" font="default" size="100%">V.S. DENYSENKO</style></author><author><style face="normal" font="default" size="100%">I.V. ATAMAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY BY THE LINEAR APPROXIMATION OF DISCRETE DYNAMICAL SYSTEMS IN SPACE conv(R^n)</style></title><secondary-title><style face="normal" font="default" size="100%">DISCRETE DYNAMICAL SYSTEMS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">52A39</style></keyword><keyword><style  face="normal" font="default" size="100%">93D30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/22/2</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The stability of &amp;nbsp;the fixed points of discrete dynamical systems (DDS) in &amp;nbsp;the &amp;nbsp;semilinear space $conv(\Bbb R^n)$ (the space of nonempty convex compact sets of $\Bbb R^n$) is investigated. Equation &amp;nbsp;in variations in the neighborhood of the fixed point of DDS is derived. Based on the results of the spectral theory of linear operators in Banach space, the conditions &amp;nbsp;of localization of the spectrum are obtained. Examples of DDS in $conv(\Bbb R^n)$ for which the stability conditions of the fixed points are reduced to the Schur-Cohn &amp;nbsp;criterion for polynomials are considered.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">187</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KAMEL ALI KHELIL</style></author><author><style face="normal" font="default" size="100%">ABDELOUAHEB ARDJOUNI</style></author><author><style face="normal" font="default" size="100%">AHCENE DJOUDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY IN LINEAR NEUTRAL LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K30</style></keyword><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we use the contraction mapping theorem to&amp;nbsp;obtain asymptotic stability results about the zero solution for the following&amp;nbsp;linear neutral Levin-Nohel integro-differential equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$x^{\prime}(t) +\int_{t-\tau}^t&amp;nbsp;a(t, s)x(s)ds + c(t)x^{\prime}(t -\tau&amp;nbsp;(t)) = 0.$$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;An asymptotic stability theorem with a necessary and sufficient condition is&amp;nbsp;proved. In addition, the case of the equation with several delays is studied.&amp;nbsp;The results obtained here extend the work of Dung [14]. In the end we provide&amp;nbsp;an example to illustrate our claim.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">83</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J.A. NANWARE</style></author><author><style face="normal" font="default" size="100%">D.B. DHAIGUDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SYSTEM OF INITIAL VALUE PROBLEMS INVOLVING RIEMANN-LIOUVILLE SEQUENTIAL FRACTIONAL DERIVATIVE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, system of initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative is studied by using monotone iterative technique coupled with lower-upper solutions. Monotone iterative technique is successfully applied to obtain existence and uniqueness of solutions of system of initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. VIVEK</style></author><author><style face="normal" font="default" size="100%">E.M. ELSAYED</style></author><author><style face="normal" font="default" size="100%">K. KANAGARAJAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THEORY AND ANALYSIS OF ψ-FRACTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34K14</style></keyword><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this note, we study the boundary value problems (BVPs for short) for the differential equations with ${ ψ }$-fractional derivative. Some new existence and uniqueness results are derived by means of the contraction mapping principle and Schaefer’s fixed point theorem. Further, we discuss the Ulam-Hyers stability.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">401</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HIBA F. AL-JANABY</style></author><author><style face="normal" font="default" size="100%">F. GHANIM</style></author><author><style face="normal" font="default" size="100%">M. DARUS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THIRD-ORDER DIFFERENTIAL SANDWICH-TYPE RESULT OF MEROMORPHIC p-VALENT FUNCTIONS ASSOCIATED WITH A CERTAIN LINEAR OPERATOR</style></title><secondary-title><style face="normal" font="default" size="100%">THIRD-ORDER DIFFERENTIAL SANDWICH-TYPE RESULT</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">30C45</style></keyword><keyword><style  face="normal" font="default" size="100%">30C50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;By utilizing a certain linear operator considered on meromorphic multivalent functions (MMF) in the punctured unit disk $Y^*$. We&amp;nbsp;investigate the third-order differential subordination and superordination results. The outcomes here are acquired by introducing appropriate class of&amp;nbsp;admissible functions. Sufficient conditions are determined to gain the best&amp;nbsp;dominant and the best subordinate, respectively. Differential sandwich-type&amp;nbsp;result is also derived.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">63</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">YUANWEI QI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE TRAVELING WAVE OF AUTO-CATALYTIC SYSTEMS – THE LIMITING CASES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C20</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">92E20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This article studies propagating &amp;nbsp;wave of a reaction-diffusion system modeling auto-catalytic &amp;nbsp;chemical reaction $ A + n B \rightarrow (n + 1) B$ involving two chemical species, a reactant $A$ and an auto-catalyst $B$, whose diffusion coefficients, $D_A$ and $D_B$, are unequal due to different molecular weights and/or sizes.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We are investigating the extreme cases of &amp;nbsp;$ D \equiv D_B/D_A \ll 1$ or $ D \gg 1$.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;We reformulate the traveling wave problem of general case to derive explicit bounds&amp;nbsp;&amp;nbsp;of speed for existence and non-existence.&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">623</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">H.T. BANKS</style></author><author><style face="normal" font="default" size="100%">J.E. BANKS</style></author><author><style face="normal" font="default" size="100%">RICCARDO BOMMARCO</style></author><author><style face="normal" font="default" size="100%">A.N. LAUBMEIER</style></author><author><style face="normal" font="default" size="100%">N.J. MYERS</style></author><author><style face="normal" font="default" size="100%">MAJ RUNDLÖF</style></author><author><style face="normal" font="default" size="100%">KRISTEN TILLMAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ANALYSIS OF NONLINEAR DELAY SYSTEMS WITH APPLICATIONS IN BUMBLEBEE POPULATION MODELS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Analysis of Nonlinear Delay Systems  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K28</style></keyword><keyword><style  face="normal" font="default" size="100%">92D25</style></keyword><keyword><style  face="normal" font="default" size="100%">92D40</style></keyword><keyword><style  face="normal" font="default" size="100%">93C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Bumblebees are ubiquitous creatures and crucial pollinators&amp;nbsp;to a vast assortment of crops worldwide. These populations have been in&amp;nbsp;decline in recent decades and researchers are seeking to understand why populations are decreasing and how to direct conservation efforts. Because of their&amp;nbsp;reproductive patterns, bumblebee population dynamics can be modeled with&amp;nbsp;delay differential equations (DDEs). We present non-linear, non-autonomous&amp;nbsp;DDE models of bumblebee colonies and resources. We demonstrate that the&amp;nbsp;models satisfy the conditions in [4] and complete the subsequent theoretical&amp;nbsp;developments therein in order to rigorously justify families of approximate&amp;nbsp;solutions.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">449</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZHITING XU</style></author><author><style face="normal" font="default" size="100%">LINLIN YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CLASSIFICATIONS OF POSITIVE SOLUTIONS OF CERTAIN SECOND ORDER FUNCTIONAL DYNAMIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Functional Dynamic Equations  </style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Functional Dynamic Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the asymptotic behavior of the positive solutions of the following second order functional dynamic equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;\begin{equation*}&lt;br /&gt;
\big(r(t)|x^{\Delta}(t)|^{\alpha-1}x^{\Delta}(t)\big)^{\Delta}+f(t,x^{\sigma}(t),x^{\tau}(t))=0,&lt;br /&gt;
\end{equation*}&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;on a time scale $T$, where $\alpha&amp;gt;0$ is a constant, $\sigma(t)$ is the forward jump operator,&amp;nbsp;and $x^{\tau}(t)=x(\tau(t))$. According to the cases, where&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$\int^{\infty}_{t_0}r^{-1/\alpha}(s)\Delta s=\infty\ \text{or}\ \int^{\infty}_{t_0}r^{-1/\alpha}(s)\Delta s&amp;lt;\infty$$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;holds, all positive solutions of the above&amp;nbsp;equation are classified into three types by means of their asymptotic behavior, respectively.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;br /&gt;
Our goal is to establish necessary and sufficient conditions for the existence of certain&amp;nbsp;types of solutions of the dynamic equation. Furthermore, we apply the results obtained this paper&amp;nbsp;to certain second order difference equations and obtain new corresponding results for the difference equations.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;br /&gt;
Finally, we give an example to illustrate the main results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">283</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SMITA PATI</style></author><author><style face="normal" font="default" size="100%">SESHADEV PADHI</style></author><author><style face="normal" font="default" size="100%">P.D.N. SRINIVASU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONDITIONS FOR EXISTENCE OF POSITIVE SOLUTIONS OF FIRST ORDER BOUNDARY VALUE PROBLEMS WITH DELAY AND NONLINEAR NONLOCAL BOUNDARY CONDITIONS AND APPLICATION TO HEMATOPOIESIS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Existence of Positive Solutions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, &amp;nbsp;existence criteria for &amp;nbsp; positive solutions of the following nonlinear first order boundary value problem with delay and &amp;nbsp;nonlinear nonlocal boundary condition&lt;br /&gt;
&amp;nbsp;\begin{eqnarray*}&lt;br /&gt;
&amp;nbsp;x^{\prime}(t) &amp;amp; = &amp;amp; r(t)x(t) + p(t) \sum_{i=1}^{m} f_i(t,x(\alpha_{i}(t))), \,\,\, t \in [0,1],\\&lt;br /&gt;
&amp;nbsp;\lambda x(0) &amp;amp; = &amp;amp; x(1) + \sum_{j=1}^{n} \Lambda_j(\tau_j, x(\tau_j)),\,\,\, \tau_j \in [0,1],&lt;br /&gt;
&amp;nbsp;\end{eqnarray*}&lt;br /&gt;
&amp;nbsp;are established using &amp;nbsp;Leray-Schauder theorem and Leggett-Williams fixed point theorem. These results are employed to &amp;nbsp;provide a complete existence criteria for positive solutions of the following &amp;nbsp;boundary value problem associated with the well known Hematopoiesis &amp;nbsp;model%\vfill\mbox{}\newpage&lt;br /&gt;
&amp;nbsp;\begin{align}&lt;br /&gt;
&amp;nbsp;x^{\prime}(t) &amp;nbsp;= &amp;amp; r(t)x(t) + p(t)\frac{x^{n}(t-\alpha)}{1+x^{m}(t-\alpha)}, \,\,\, t \in [0,1], \nonumber\\&lt;br /&gt;
&amp;nbsp; \lambda x(0) &amp;nbsp; = &amp;amp; &amp;nbsp;x(1) &amp;nbsp;+ &amp;nbsp;\Lambda(\tau,x(\tau)),\,\,\, \tau \in [0,1] \nonumber&lt;br /&gt;
&amp;nbsp;\end{align}&lt;br /&gt;
&amp;nbsp;where $m$ and $n$ are nonnegative parameters.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">39</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">H.T. BANKS</style></author><author><style face="normal" font="default" size="100%">MICHELE L. JOYNER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DETERMINISTIC METHODOLOGY FOR COMPARISON OF NESTED STOCHASTIC MODELS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">COMPARISON OF NESTED STOCHASTIC MODELS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37H10</style></keyword><keyword><style  face="normal" font="default" size="100%">37L55</style></keyword><keyword><style  face="normal" font="default" size="100%">93E03</style></keyword><keyword><style  face="normal" font="default" size="100%">94A30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">50</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider model comparison techniques for three different classes of stochastic models: continuous time Markov chains (CTMC), stochastic differential equations (SDE), and random differential equations (RDE). For nested models, we extend the statistically-based ideas and techniques developed earlier by Banks and Fitzpatrick [4] for deterministic differential equation models to these three types of stochastic systems. We illustrate the ideas in the context of examples with simulated data and then apply the ideas to inverse problems for growth data from algae experiments.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">15</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JEFFREY T. NEUGEBAUER</style></author><author><style face="normal" font="default" size="100%">CHARLEY L. SEELBACH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A DIFFERENCE EQUATION WITH DIRICHLET BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">ЦАА</style></alt-title><short-title><style face="normal" font="default" size="100%">A Difference Equation with Dirichlet Boundary Conditions  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A recent Avery et al. fixed point theorem is applied to show the existence of a positive solution of the second order difference equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$\Delta^{2}u\left(k\right)+f\left(u\left(k\right)\right),\quad k\in\left\{0,1,...,N\right\},$$&lt;/p&gt;

&lt;p&gt;with boundary conditions&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$u\left(0\right)=u\left(N+2\right)=0.$$&lt;/p&gt;

&lt;p&gt;An example is also given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">237</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ADRIÀN HERNÀNDEZ-DEL-VALLE</style></author><author><style face="normal" font="default" size="100%">CLAUDIA I. MARTÌNEZ-GARCÌA</style></author><author><style face="normal" font="default" size="100%">FRANCISCO VENEGAS-MARTÌNEZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EQUILIBRIUM CHARACTERISTICS OF SOVEREIGN DEFAULT IN A TWO COUNTRY CURRENCY AREA: A TWO PLAYER DYNAMIC HIERARCHICAL GAME</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Two Player Dynamic Hierarchical Game</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90A09</style></keyword><keyword><style  face="normal" font="default" size="100%">91B28</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is aimed at developing a two player dynamic hierarchical game called the Sovereign Default Game in order to study the optimality of default in a two country currency area where the larger economy is the leader and the smaller economy acts as the follower. Our approach is a monetary general equilibrium model where the leader sets the monetary policy in the currency area but the follower experiences a real exchange rate over-valuation that may lead to default. We find two maxima of maxima, one of them “perverse” in the sense that it generates moral hazard.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">187</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV NENOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN ERROR ESTIMATION IN BACKUS-GILBER MOVING LEAST-SQUARES APPROXIMATION</style></title><secondary-title><style face="normal" font="default" size="100%">Backus-Gilber Moving Least-Squares Approximation</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">93E24</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Our goal is to establish a bound of the error in moving leastsquares approximation in terms of coefficients of the approximation and error of nearest data points&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">35</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CESAR A. GÓMEZ S.</style></author><author><style face="normal" font="default" size="100%">HERNÁN GARZÓN G.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON EXACT SOLUTIONS FOR A GENERALIZED BURGERS-SHARMA-TASSO-OLVER EQUATION WITH FORCING TERM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Generalized Burgers-Sharma-Tasso-Olver Equation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35C05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We obtain exact traveling solutions for a combination between the Burgers equation and the Sharma-Tasso-olver equation (B-STO) with variable coefficients and forcing term. Each one of this equations have been studied in a independent way, however, with the use of a forcing term the results presented here are new. The improved tanh-coth method is used to obtain the solutions of the generalized model. We show that from the solutions of the new model, we can obtain solutions for the Burgers equation with forcing term and for the Sharma-Tasso-Olver equation with forcing term.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">127</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANUJ KUMAR</style></author><author><style face="normal" font="default" size="100%">A.K. AGRAWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF HOPF-BIFURCATION IN A 6-DIMENSIONAL SYSTEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Existence of Hopf-Bifurcation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65F99</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we discover a set of conditions for the existence of Hopf-bifurcation in a system of 6- dimensional ordinary differential equations. Here, we find these conditions in terms of the coefficients of the characteristic equation of Jacobi matrix corresponding to the equilibrium point. These conditions are also helpful in normal form theory of 6- dimensional system to study the direction of Hopf-bifurcation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">119</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. BOUALI</style></author><author><style face="normal" font="default" size="100%">M. BELLOUFI</style></author><author><style face="normal" font="default" size="100%">R. GUEFAIFIA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL CONVERGENCE OF THE TMR METHOD FOR UNCONSTRAINED OPTIMIZATION PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">TMR Method for Optimization Problems  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65H10</style></keyword><keyword><style  face="normal" font="default" size="100%">90C26</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Conjugate gradient methods are probably the most famous&amp;nbsp;iterative methods for solving large scale optimization problems in scientific&amp;nbsp;and engineering computation, characterized by the simplicity of their iteration&lt;br /&gt;
and their low memory requirements. It is well known that the search direction&amp;nbsp;plays a main role in the line search method. In this paper, we propose a new&amp;nbsp;search direction with the Wolfe line search technique for solving unconstrained&amp;nbsp;optimization problems. Under the above line searches and some assumptions,&amp;nbsp;the global convergence properties of the given methods are discussed. Numerical result shows that the proposed formula is superior and more efficient when&amp;nbsp;compared to other CG coefficients.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">15</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. JAGADESHKUMAR</style></author><author><style face="normal" font="default" size="100%">V. SOMARAJU</style></author><author><style face="normal" font="default" size="100%">S. SRINIVAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYDRODYNAMIC FREE SHEAR LAYERS IN A ROTATING FLUID DUE TO AN APPLIED STRESS AT THE FREE SURFACE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Hydrodynamic Free Shear Layers in a Rotating Fluid</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">76U05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Vertical free shear layers, which arise due to an azimuthal stress at the free surface of a linear, steady, axisymmetric, rotating fluid bounded below by a rigid surface, are analyzed using a combination of Fourier transform and boundary layer techniques. It is found that the interior azimuthal velocity is equal to the applied stress itself and the vertical mass flux pumped by the bottom Ekman layer enters directly into the free surface Ekman layer at the top. The vertical free shear layers are the usual Stewartson boundary layers namely, the ${{E}^{\frac{1}{3}}}$&amp;nbsp;and ${{E}^{\frac{1}{4}}}$ layers, which arise to provide a return path for the Ekman mass flux and adjust the azimuthal velocity to its suitable value at the vertical boundary /discontinuity. However, In contrast to top rigid surface case, the Ekman mass flux cannot enter directly into the ${{E}^{\frac{1}{4}}}$ layer at the top free surface.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">107</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SEBASTIANO PENNISI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS FOR THE DESCRIPTION OF MASS-LESS PARTICLES</style></title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Hyperbolic Partial Differential Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35Lxx</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Hyperbolic systems of partial differential equations are very important for physical&amp;nbsp;applications because they satisfy the causality principle and lead to finite propagation&amp;nbsp;of shocks waves. Many of this cases have been considered in Extended Thermodynamics. Here&amp;nbsp;a new example of physical application is obtained by applying the new theory of the two&amp;nbsp;blocks of balance equations to the case of mass-less particles, in the relativistic&lt;br /&gt;
context.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALI TAGHAVI</style></author><author><style face="normal" font="default" size="100%">ROJA HOSSEINZADEH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYPERINNER PRODUCT SPACES II</style></title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Hyperinner Product Spaces</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46J10</style></keyword><keyword><style  face="normal" font="default" size="100%">47B48</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we extend the definition of hyperinner product defined on weak hypervector spaces with a hyperoperation scalar product to weak hypervector spaces with the hyperoperations sum and scalar products. In this regard, first we introduce a new definitions of hypergroups and also weak hypervector spaces and then define inner product. Moreover, we prove some important relations in hyperinner product spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">315</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. SARAVANAN</style></author><author><style face="normal" font="default" size="100%">T. PHANEENDRA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE INFIMUM PROPERTY AND FIXED POINTS IN A G-METRIC SPACE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Fixed Points in a G-Metric Space  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Fixed points are obtained under some contractive type conditions in G-metric space through the well-known infimum property of nonnegative real numbers.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">139</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. VIJAYASHREE</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">JOINT OPTIMIZATION INVENTORY MODEL WITH STOCHASTIC DEMAND AND CONTROLLABLE LEAD TIME BY REDUCING ORDERING COST AND SETUP COST</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Joint Optimization Model</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword><keyword><style  face="normal" font="default" size="100%">90C25</style></keyword><keyword><style  face="normal" font="default" size="100%">90C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">36</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper explores the setup and order processing cost reduction in the single vendor and the single buyer integrated production inventory model. The mathematical model is derived to investigate the effects of&amp;nbsp;the optimal decisions when capital investment strategies in setup and order&amp;nbsp;processing cost reduction are adopted. This proposed model intends to derive&amp;nbsp;the exact cost function for the entire supply chain including logarithmic investment functions and an efficient computational algorithm is constructed to find the best solution.&lt;br /&gt;
We have developed the set up cost and ordering cost reductions in an&amp;nbsp;integrated inventory production system in which demand during the lead time&amp;nbsp;follows a normal distribution. The objective of this paper is to minimize the&amp;nbsp;integrated total cost by optimizing the order quantity, setup cost, ordering&amp;nbsp;cost, safety factor and number of deliveries simultaneously. An algorithm to&amp;nbsp;find the optimal solutions is developed.&lt;br /&gt;
Order cost and setup cost are considered as logarithmic functions of capital&amp;nbsp;investment. Besides, an efficient algorithm is developed to determine the optimal solution, and our approach is illustrated through a numerical example. A&amp;nbsp;computer code using the software Matlab is developed to derive the optimal&amp;nbsp;solution and numerical example is presented to illustrate the model. Finally,&amp;nbsp;sensitivity analysis is carried out with respect to the key parameters and some&amp;nbsp;managerial implications are also included.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">151</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A.K. LAZOPOULOS</style></author><author><style face="normal" font="default" size="100%">D. KARAOULANIS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON L-FRACTIONAL DERIVATIVES AND L-FRACTIONAL HOMOGENEOUS EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">L-Fractional Derivatives and L-Fractional Equations</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34K37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Many different fractional derivatives exist that serve&amp;nbsp;different aspects of fractional calculus. Nevertheless, they have&amp;nbsp;failed to correspond to a reliable fractional differential. Lazopoulos [22]&amp;nbsp;has introduced the L-fractional derivative having meaningful geometrical&amp;nbsp;configuration. Moreover, the L-fractional derivative has a meaningful&amp;nbsp;fractional differential as well. Hence, Fractional Differential Geometry&amp;nbsp;could be established. The solutions of the linear homogenous L-fractional&amp;nbsp;differential equation with constant coefficients will be studied in the&amp;nbsp;present work. The solutions will be obtained with the help of power series&amp;nbsp;expansions. Numerical solutions are presented for various fractional&amp;nbsp;differentiation orders. Finally, comparison is presented between the cases&amp;nbsp;of fractional differential homogeneous equations with Riemann-Liouville&amp;nbsp;derivatives and Leibnitz derivatives. The similarities and differences are&amp;nbsp;spotted. Those differences support that the solutions of the equations with&amp;nbsp;L-fractional derivatives lie between the conventional (where $\alpha =1$) and the corresponding ones with Riemann-Liouville derivatives.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">249</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. SEKAR</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author><author><style face="normal" font="default" size="100%">P. MYTHURADEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LIMITED CAPACITY STOREHOUSE INVENTORY MODEL FOR DETERIORATING ITEMS WITH PRESERVATION TECHNOLOGY AND PARTIAL BACKLOGGING UNDER INFLATION</style></title><secondary-title><style face="normal" font="default" size="100%">Inventory Model</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Inventory Model 37</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">91B54</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">05/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">28</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In today's time of higher rivalry in the business, there are many conditions, for example, offered concessions in mass acquiring, regularity, higher ordering cost, and so on., which compel a retailer to buy a greater number of amounts than required or surpass the capacity limit. So in this circumstance the retailer needs to buy an additional distribution center named as a leased storehouse to stock the additional amount. In this paper, we have considered a two storehouse (owned and leased storehouse) economic order quantity model for deteriorating items with a selling price dependent demand under the effect of inflation and shortages. Since holding cost of inventory items in leased storehouse is greater than that of owned storehouse, leased storehouses inventory level is depleted due to demand and deterioration. &amp;nbsp;At this time owned storehouse is depleted due to deterioration only. After the inventory level of leased storehouse becomes zero, the inventory level of owned storehouse is depleted due to both demand and deterioration. The shortages are permitted in owned storehouse only which is partially backlogged. This paper aids the retailer in minimizing the total average inventory cost by finding the optimal interval and the optimal order quantity. Finally, a numerical example with sensitivity analysis is given to illustrate the proposed model.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">377</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JAGAN MOHAN JONNALAGADDA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MATRIX EXPONENTIAL FUNCTIONS OF FRACTIONAL NABLA CALCULUS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Fractional Nabla Calculus</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K28</style></keyword><keyword><style  face="normal" font="default" size="100%">92D25</style></keyword><keyword><style  face="normal" font="default" size="100%">92D40</style></keyword><keyword><style  face="normal" font="default" size="100%">93C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this article, we construct the matrix exponential function&amp;nbsp;corresponding to a linear homogeneous fractional nabla difference system, using different algorithms. Examples are provided to illustrate the applicability&amp;nbsp;of proposed algorithms.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. DEVIKA</style></author><author><style face="normal" font="default" size="100%">G. SURESH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">(M,K)-QUASI CLASS Q AND (M,K)-QUASI *CLASS Q COMPOSITION OPERATORS ON WEIGHTED HARDY SPACE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Composition Operators on Weighted Hardy Space  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47B15</style></keyword><keyword><style  face="normal" font="default" size="100%">47B20</style></keyword><keyword><style  face="normal" font="default" size="100%">47B99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we discuss the conditions for a composition&amp;nbsp;operator and a weighted composition operator to be (M,k) quasi class Q and&amp;nbsp;(M,k) quasi * class Q operator and also the characterization of (M,k) quasi&amp;nbsp;class Q and (M,k) quasi * class Q composition operators on weighted Hardy&amp;nbsp;space.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">R. MANIKANDAN</style></author><author><style face="normal" font="default" size="100%">SAJEEV S. NAIR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">M/M/1/1 QUEUEING-INVENTORY SYSTEM WITH RETRIAL OF UNSATISFIED CUSTOMERS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">M/M/1/1 Queueing-Inventory System</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60F05</style></keyword><keyword><style  face="normal" font="default" size="100%">60J10</style></keyword><keyword><style  face="normal" font="default" size="100%">60K20</style></keyword><keyword><style  face="normal" font="default" size="100%">60K25</style></keyword><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword><keyword><style  face="normal" font="default" size="100%">90B22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper considers an $M/M/1/1$ queueing-inventory system with retrial of unsatisfied customers. Arrivals taking place when server is busy, proceed to an orbit of infinite capacity. From the orbit, the head of the queue alone retires to access the server. Failed attempts to access an idle server with positive inventory results in the retrial customer returning to orbit. The inter-retrial times are independent identically distributed exponential random variables with parameter $\theta$, irrespective of the number of customers in the orbit. Primary customers, who encounter an idle server without stock at its arrival epoch, leave the system for ever. We compute the condition for stability and then employ algorithmic approach for the computation of the system steady-state probability. We derive the expected waiting time of &amp;nbsp;a customer in the orbit; distribution of the time until the first customer goes to orbit and also the probability of no customer going to orbit in a given interval of time. An optimization problem is investigated numerically.&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">217</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZVI RETCHKIMAN KÖNIGSBERG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MODELLING AND VERIFICATION ANALYSIS OF THE BIOLOGICAL COOPERATIVE COMPETITION PROBLEM VIA A FIRST ORDER LOGIC APPROACH</style></title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Biological Cooperative Competition Problem  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">08A99</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">93D35</style></keyword><keyword><style  face="normal" font="default" size="100%">93D99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper addresses the biological cooperative competition problem among organisms of the same or different species associated with the need for a common resource that occurs in a limited supply relative to demand. If two competitors try to occupy the same realized niche, one species will try to eliminate the other. Therefore, there is a need to cooperate sharing part of the resource so that both organisms will benefit from it. In this work, the biological cooperative competition problem is modelled as a formula of the first order logic. Then, using the concept of logic implication, and transforming this logical implication relation into a set of clauses, called Skolem standard form, qualitative methods for verification as well as performance issues, for some queries, are applied.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">337</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PRAKASAM MURALIKRISHNA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON N-STRUCTURED p-IDEAL OF BF-ALGEBRA</style></title><secondary-title><style face="normal" font="default" size="100%">On N-Structured p-Ideal of BF-Algebra</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">ON N-STRUCTURED p-IDEAL OF BF-ALGEBRA</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">03E72</style></keyword><keyword><style  face="normal" font="default" size="100%">03G25</style></keyword><keyword><style  face="normal" font="default" size="100%">06F35</style></keyword><keyword><style  face="normal" font="default" size="100%">08A72</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The idea of $\mathcal{N}$-structured $p$-ideal of a BF-algebra is proposed. The relationship between $\mathcal{N}$-structured-ideal and $\mathcal{N}$-structured $p$-ideal is studied. Some interesting and elegant results are also discussed.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">303</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV ENKOV</style></author><author><style face="normal" font="default" size="100%">ATANASKA GEORGIEVA</style></author><author><style face="normal" font="default" size="100%">ALBENA PAVLOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUADRATURE RULES AND ITERATIVE NUMERICAL METHOD FOR TWO-DIMENSIONAL NONLINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Two-Dimensional Nonlinear Fredholm Fuzzy Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45B05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">65D32</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we introduce some generalized quadrature rules&amp;nbsp;to approximate two-dimensional Henstock integral of fuzzy-number-valued&amp;nbsp;functions by giving error bounds for Henstock integrable, bounded mappings&lt;br /&gt;
in terms of uniform modulus of continuity. We also consider generalizations&amp;nbsp;of classical quadrature rules, such as midpoint-type, trapezoidal and three-point-type quadrature. Moreover, we propose an iterative procedure based&amp;nbsp;on trapezoidal quadrature to solve two-dimensional nonlinear Fredholm fuzzy&amp;nbsp;integral equations. The error estimation of the proposed method is given in&amp;nbsp;terms of uniform and partial modulus of continuity. Finally , an illustrative&amp;nbsp;numerical experiment confirms the theoretical results and demonstrates the&amp;nbsp;accuracy of the method.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">479</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author><author><style face="normal" font="default" size="100%">IOANNIS K. ARGYROS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLUTION OF EQUATIONS AND APPLICATIONS ON BANACH SPACE VALUED FUNCTIONS AND FRACTIONAL VECTOR CALCULI</style></title><secondary-title><style face="normal" font="default" size="100%">On the Solution of Equations  </style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">On the Solution of Equations</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">46B25</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J25</style></keyword><keyword><style  face="normal" font="default" size="100%">65G99</style></keyword><keyword><style  face="normal" font="default" size="100%">65H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The aim of this paper is to solve equations on Banach space&amp;nbsp;using iterative methods under generalized conditions. The differentiability of&amp;nbsp;the operator involved is not assumed and its domain is not necessarily convex.&amp;nbsp;Several applications are suggested &amp;nbsp;including Banach space valued functions of&amp;nbsp;abstract fractional calculus, where all integrals are of Bochner-type.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">405</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. DONCHEV</style></author><author><style face="normal" font="default" size="100%">D. KOLEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY FOR PERTURBED NONAUTONOMOUS DIFFERENTIAL EQUATIONS UNDER IMPULSIVE EFFECT</style></title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Stability for Perturbed Nonautonomous Differential Equations</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we study a class of non autonomous ODEs with a functional perturbation and impulsive effect. We establish a new sufficient condition which &amp;nbsp; guarantees uniform stability of the zero-solution after &quot;switching on`` the impulsive effect.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">325</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">G.S. LADDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STOCHASTIC STABILITY OF INFLATION-UNEMPLOYMENT PROCESS</style></title><secondary-title><style face="normal" font="default" size="100%">Inflation-Unemployment Process  </style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Inflation-Unemployment Process  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this work, by assuming a speed of adjustment of the rate of unemployment to be a Gaussian white noise as well as unanticipated changes to be Markov chain, stochastic mathematical models of inflation-unemployment processes are outlined. Furthermore, sufficient conditions are given to insure stability of inflation-employment processes in the quadratic mean as well as in the sense of almost sure. The presented study sheds a light on the effects of random structural perturbations in the system. The study also exhibits robust stability with respect to both deterministic as well as stochastic parameters of the system. This is achieved by the usage of comparison theorems in the context energy functions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">269</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. PHANEENDRA</style></author><author><style face="normal" font="default" size="100%">K. KUMARA SWAMY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THREE FIXED POINT THEOREMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Three Fixed Point Theorems</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2017/01</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Recently, Binayak Choudhary et al, see [1], introduced compatible and weakly compatible maps, and property (EA) in G-metric spaces. Using these ideas, in this paper, we prove some generalizations of results of Choudhary et al, see [1].&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">29</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MAGDALENA VESELINOVA</style></author><author><style face="normal" font="default" size="100%">HRISTO KISKINOV</style></author><author><style face="normal" font="default" size="100%">ANDREY ZAHARIEV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ABOUT STABILITY CONDITIONS FOR RETARDED FRACTIONAL DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Fractional Differential Systems with Distributed Delays  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The aim of the present work is to introduce a new approach which&amp;nbsp;allows to establish explicit conditions for global asymptotic stability of incommensurate and commensurate retarded linear fractional differential&amp;nbsp;system with distributed&amp;nbsp;delays. The derivatives in the system can be in Riemann-Liouville or Caputo type.&amp;nbsp;The established conditions are simply to verify - it must be studied either the distribution of the roots of a polynomial, or the distribution of the eigenvalues for a&amp;nbsp;constant matrix, which are explicitly determined from the systems parameters. Some&amp;nbsp;results for the commensurate case are given too.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">325</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAMAKANTA MEHER</style></author><author><style face="normal" font="default" size="100%">V.P. GOHIL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR THE SOLUTION OF CUBIC BOUSSINESQ EQUATION AND BOUSSINESQ-BURGER EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Homotopy Analysis for the Boussinesq Equation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K15</style></keyword><keyword><style  face="normal" font="default" size="100%">35L15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, homotopy analysis method is applied to compute the numerical solution of cubic Boussinesq equation and Boussinesq-Burger equation and compared the obtained results with the results obtained by various analytic methods like homotopy perturbation method, Laplace adomian decomposition method, Optimal homotopy asymptotic method and with exact solution. Comparison between our solutions and the exact solution shows that although all the four methods are effective and accurate in solving nonlinear problems but homotopy analysis method is more accurate with less number of iterations as compared to OHAM and other methods.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">379</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. KARIMI AMALEH</style></author><author><style face="normal" font="default" size="100%">A. DASI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BIFURCATION ANALYSIS OF AN SIR MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">BIFURCATION ANALYSIS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">92C60</style></keyword><keyword><style  face="normal" font="default" size="100%">92D30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is devoted to study a three dimensional Susceptible-Infected-Recovered (SIR) epidemic model. The stability of the equilibrium points in&amp;nbsp;dynamical models is one of the most important issues. Here so we will study the&amp;nbsp;stability of equilibrium points of the epidemic model by using bifurcation theory.&amp;nbsp;For this purpose, we investigate transcritical, pitchfork and saddle-node bifurcation&amp;nbsp;points.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">317</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. PHANEENDRA</style></author><author><style face="normal" font="default" size="100%">S. SARAVANAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDED ORBITS AND G-CONTRACTIVE FIXED POINTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">BOUNDED ORBITS AND G-CONTRACTIVE FIXED POINTS </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Let $f$ be a self-map on a metric space $(X,d)$ and $x_0\in X$. The orbit $O_f(x_0)$ at $x_0$ is the sequence of $f$-iterates $\langle x_0, fx_0,..., f^nx_0,...\rangle$. A fixed point $p$ of $f$ is a contractive fixed point if every $O_f(x_0)$ converges to $p$. The existence of contractive fixed points for self-maps in metric spaces was investigated by Edelstein \cite{edel}, Leader and Hoyle in \cite{lh}, and by Reich \cite{rei}. The notion of $G$-contractive fixed point in a generalized metric space was introduced by the first author and Kumara Swamy in \cite{pk13b} in 2013. This paper devotes to the study of bounded orbits and contractive fixed points for certain self-maps in $G$-metric space, without using the iterations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">441</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV I. NENOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">B-SPLINE CURVE AS A MINIMUM OF QUADRATIC FORM AND ITS DERIVATIVES, I</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">B-SPLINE CURVES AND DERIVATIVES </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A15</style></keyword><keyword><style  face="normal" font="default" size="100%">65D07</style></keyword><keyword><style  face="normal" font="default" size="100%">65Dxx</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The goal of this short note is to show a new approach for differentiation of b-spline curve.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">239</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALI BOUSSAYOUD</style></author><author><style face="normal" font="default" size="100%">NESRINE HARROUCHE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPLETE SYMMETRIC FUNCTIONS AND k-FIBONACCI NUMBERS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Complete Symmetric Functions and k-Fibonacci Numbers</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">05E05</style></keyword><keyword><style  face="normal" font="default" size="100%">11B39</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we introduce a operator in order to derive some new symmetric properties of k-Fibonacci numbers and Tchebychev polynomials of second kind. By making use of the operator defined in this paper, we give some new generating functions for k- Fibonacci numbers and Tchebychev polynomials of second kinds.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">457</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SAID R. GRACE</style></author><author><style face="normal" font="default" size="100%">TAHER S. HASSAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CRITERIA FOR THE OSCILLATION OF SECOND ORDER NONLINEAR DYNAMIC INCLUSIONS WITH DISTRIBUTED DEVIATING ARGUMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis </style></secondary-title><short-title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">34N05</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we investigate some new criteria for the oscillation of second order nonlinear inclusions with distributed arguments on time scales. We establish the case of strongly superlinear and the case strongly sublinear subject to various conditions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">TESHOME BALKEW</style></author><author><style face="normal" font="default" size="100%">N.G. MEDHIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DYNAMIC PROGRAMMING METHOD FOR IMPULSIVE CONTROL PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Dynamic Programming Method</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">14E20</style></keyword><keyword><style  face="normal" font="default" size="100%">20C20</style></keyword><keyword><style  face="normal" font="default" size="100%">46E25</style></keyword><keyword><style  face="normal" font="default" size="100%">54C40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">34</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider a nonlinear impulsive control problem governed by a system of ordinary differential equations which we study using dynamic programming approach. We then present two HIV models which are particular instances of the problem. In the first HIV model the objective of the control problem is to find an optimal trajectory to guide the system to LTNP ( Long term Non-Progressor) equilibrium point while the cost of treatment is minimal, the viral load is undetectable, and CD4+T cell-count is at an acceptable level. In the second model we look for a treatment regime in which the infectious viral load is minimized and the CD4+T cell-count increases while using optimal dosage of anti-HIV drug. Simulation results are presented and discussed for each model.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">489</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ADJI ACHMAD RINALDO FERNANDES</style></author><author><style face="normal" font="default" size="100%">SOLIMUN SOLIMUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE EFFECT OF CORRELATION BETWEEN RESPONSES IN BI-RESPONSE NONPARAMETRIC REGRESSION USING SMOOTHING SPLINE FOR LONGITUDINAL DATA</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Bi-Response Nonparametric Regression</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65D07</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Studies on nonparametric regression model that developed at this time focus on single response model approach for longitudinal data or multi-responses model approach for cross section data. This study will be developed spline estimators in biresponses nonparametric regression for longitudinal data which accommodates correlation between observations of the same subject, and correlation between each responses. Initial study focused on the spline estimators form development and optimum smoothing parameters to estimate biresponses nonparametric regression curve in longitudinal data. In the final section, the result of theoretical study was applied on simulation data with situation of differences in the level of correlation. Biresponses nonparametric regression model which involved p predictors in longitudinal data... (see the article for full abstract).&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">335</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">KADDA MAAZOUZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS RESULTS FOR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Implicit Fractional Differential Equations </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper deals with the existence and uniqueness of solutions for implicit fractional differential equations involving the Caputo fractional derivative in a Banach space by using the Banach contraction principle and Schauder’s fixed point theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">355</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOHAMMED DERHAB</style></author><author><style face="normal" font="default" size="100%">HAYAT MEKNI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF MINIMAL AND MAXIMAL SOLUTIONS FOR A QUASILINEAR DIFFERENTIAL EQUATION WITH NONLOCAL BOUNDARY CONDITION ON THE HALF-LINE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">EXISTENCE OF MINIMAL AND MAXIMAL SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This work is concerned with the construction of minimal and maximal solutions for a second order quasilinear differential equation on the half-line with nonlocal boundary condition and without condition at infinity, where the nonlinearity is a continuous function depending on the first derivative of the unknown function. We also give an example to illustrate our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">209</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZHENGWEI CHEN</style></author><author><style face="normal" font="default" size="100%">RUOJUN ZHANG</style></author><author><style face="normal" font="default" size="100%">LINSHAN WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FINITE-TIME STOCHASTIC SYNCHRONIZATION FOR A CLASS OF BAM NEURAL NETWORKS WITH UNCERTAIN PARAMETERS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STOCHASTIC SYNCHRONIZATION FOR BAMNN </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">74H65</style></keyword><keyword><style  face="normal" font="default" size="100%">93E35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is concerned with the finite-time stochastic synchronization for a class of bidirectional associative memory (BAM) neural networks with uncertain parameters. With the adaptive control method, sufficient conditions for finite-time stochastic synchronization and parameters identification are derived based on finite-time stability theory of stochastic differential equations. We also provide a numerical example to support the effectiveness of the proposed method.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">263</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">ABDERRAHMANE BOUKENKOUL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON FUZZY FRACTIONAL ORDER DERIVATIVES AND DARBOUX PROBLEM FOR IMPLICIT DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">FIRST ORDER NEUTRAL IMPULSIVE DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">02/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, the Banach contraction principle and a fixed point theorem for absolute retract spaces are used to investigate the existence of fuzzy solutions for Caputo fractional implicit differential equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">65</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. CHANDRAMOULEESWARAN</style></author><author><style face="normal" font="default" size="100%">P. MURALIKRISHNA</style></author><author><style face="normal" font="default" size="100%">K. SUJATHA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FUZZY β-SUBALGEBRAIC TOPOLOGICAL SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FUZZY β-SUBALGEBRAIC TOPOLOGICAL SPACES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">03E72</style></keyword><keyword><style  face="normal" font="default" size="100%">08A72</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we define the notion of fuzzy β-subalgebraic topological space and investigate some of their properties and results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">307</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ABDELHAMID ABDERREZZAK</style></author><author><style face="normal" font="default" size="100%">MOHAMED KERADA</style></author><author><style face="normal" font="default" size="100%">ALI BOUSSAYOUD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZATION OF SOME HADAMARD PRODUCT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GENERALIZATION OF SOME HADAMARD PRODUCT</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">05E05</style></keyword><keyword><style  face="normal" font="default" size="100%">11B39</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we introduce a new operator in order to derive some new symmetric properties of Hadamard product.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">301</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KANG, JOON H.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GROWTH CONDITIONS FOR UNIQUENESS OF SMOOTH POSITIVE SOLUTIONS TO AN ELLIPTIC MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Positive Solutions to an Elliptic Model </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35Jxx</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The uniqueness of positive solution to the elliptic model&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;∆u + u[a + g(u, v)] = 0 in Ω,&lt;br /&gt;
∆v + v[a + h(u, v)] = 0 in Ω,&lt;br /&gt;
u = v = 0 on ∂Ω,&lt;/p&gt;

&lt;p&gt;were investigated.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">575</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LIUBIN HUA</style></author><author><style face="normal" font="default" size="100%">YONGJIN LI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON HYERS-ULAM STABILITY OF ALMOST-PERIODIC SOLUTIONS FOR CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">On Hyers-Ulam Stability</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We investigate the Hyers-Ulam stability of cellular neural networks with time-varying delays in leakage terms on time scales by using Banach fixed point method.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">367</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PRAKASAM MURALIKRISHNA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON i-v FUZZY TRANSLATION OF i-v FUZZY BF-SUBALGEBRAS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">ON i-v FUZZY TRANSLATION OF i-v FUZZY BF-SUBALGEBRAS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">03E72</style></keyword><keyword><style  face="normal" font="default" size="100%">08A72</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, the notion of an interval valued fuzzy translation of i-v fuzzy BF−subalgebra is introduced and we investigate some of their basic properties.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">science: mathematics</style></work-type><section><style face="normal" font="default" size="100%">479</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANDRII SAFONYK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MATHEMATICAL DESIGN OF PROCESS OF WATER TREATMENT BY FILTER-CLARIFIER WITH LAYER OF HANGING UP SEDIMENT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Process of Water Treatment</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65C20</style></keyword><keyword><style  face="normal" font="default" size="100%">65E05</style></keyword><keyword><style  face="normal" font="default" size="100%">65M25</style></keyword><keyword><style  face="normal" font="default" size="100%">65M32</style></keyword><keyword><style  face="normal" font="default" size="100%">68U20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The mathematical model of water treatment is formed and analyzed in filter-clarifier, taking into account the influence of dose of reagent and irreversible coagulation of admixture particles. The algorithm of the numerical-asymptotic approaching of decision of corresponding modeling nonlinear spatial problem is built for the system of differential equations as “convection-diffusion-mass-transfer”. The computer experiment is conducted on this basis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">467</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HOSSAM A. GHANY</style></author><author><style face="normal" font="default" size="100%">ABD-ALLAH HYDER</style></author><author><style face="normal" font="default" size="100%">M. ZAKARYA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NEGATIVE DEFINITE FUNCTIONS ON DIRECT PRODUCT OF COMMUTATIVE HYPERCOMPLEX SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Negative Definite Functions of Commutative Hypercomplex Systems</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">43A10</style></keyword><keyword><style  face="normal" font="default" size="100%">43A22</style></keyword><keyword><style  face="normal" font="default" size="100%">43A62</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The main aim of this paper is to explore harmonic properties of functions defined in the product of hypercomplex systems. By means of the generalized translation operators, the precise definition of the product of commutative hypercomplex systems is given and full description for its properties are shown. The definition and some properties of negative definite functions in the product of commutative normal hypercomplex systems are given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">397</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A.K. TRIPATHY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NEW OSCILLATION CRITERIA FOR FOURTH ORDER NEUTRAL DYNAMIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">FOURTH ORDER NEUTRAL DYNAMIC EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, the oscillation of a class of fourth order nonlinear neutral functional dynamic equations of the form&lt;/p&gt;

&lt;p&gt;$$ \left(r(t)  (y(t) + p(t)y(\alpha(t)))^{\Delta^2}\right)^{\Delta^2} + q(t)f(y(\beta(t))) = 0 $$&lt;/p&gt;

&lt;p&gt;is studied on an arbitrary time scale $T$, under the assumption&lt;br /&gt;
$$&lt;br /&gt;
\int\limits_{t_0}^{\infty} \frac{t}{r(t)} \Delta&amp;nbsp;t = \infty, \quad t_0 &amp;gt; 0,&lt;br /&gt;
$$&lt;br /&gt;
for various ranges of $p(t)$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">13</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. SHARMILA</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NON-INSTANTANEOUS DETERIORATING ITEMS WITH POWER DEMAND RATE AND SHORTAGES UNDER PERMISSIBLE DELAY IN PAYMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Power Demand Rate under Permissible Delay in Payments</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">21</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we propose an appropriate inventory model for non instantaneous deteriorating items over power demand rate with permissible delay in payments and time dependent holding cost.In this model, the shortages are allowed under fully backlogged condition. We consider that the items are deteriorated with respect to time.To illustrate the optimal solutions by finding an optimal cycle time with the necessary and enough conditions for the existence and uniqueness of the optimal solutions. Finally, we demonstrate the numerical instance and sensitivity of the proposed model and get the optimal solution by using the tool of Matlab.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">523</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JIAFA XU</style></author><author><style face="normal" font="default" size="100%">WEI DONG</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONTRIVIAL SOLUTIONS FOR A FRACTIONAL SCHRODINGER EQUATION VIA CRITICAL POINT THEORY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SOLUTIONS FOR A FRACTIONAL SCHRODINGER EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35A15</style></keyword><keyword><style  face="normal" font="default" size="100%">35R11</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we discuss a time-independent fractional Schr¨odinger equation (−∆)su + V (x)u = f(x, u) + g(x) in R N , where N ≥ 2, s ∈ (0, 1) and (−∆)s stands for the fractional Laplacian. Using the Mountain Pass Theorem, we establish two existence theorems to ensure that the above problem has at least one nontrivial solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">253</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. SHARMILA</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OPTIMAL INVENTORY MODEL FOR DETERIORATING PRODUCTS WITH WEIBULL DISTRIBUTION DETERIORATION, STOCK AND TIME-DEPENDENT DEMAND, TIME-VARYING HOLDING COST UNDER FULLY BACKLOGGING</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OPTIMAL INVENTORY MODEL </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">03B52</style></keyword><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Effect of deterioration plays a vital role in present environment of market. In this paper, an optimal inventory model for deteriorating items having stock and time dependent demand under the effects of deterioration is studied. A two parameter Weibull distribution is used to represent the distribution of the time to deterioration. In which the shortages are allowed and fully backlogged. The model is solved analytically by minimizing the total inventory cost. Some numerical examples have been carried out to illustrate the developed model.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">277</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. HEMAPRIYA</style></author><author><style face="normal" font="default" size="100%">R. UTHAYAKUMAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ORDERING COST DEPENDENT LEAD TIME IN INTEGRATED INVENTORY MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">ORDERING COST DEPENDENT LEAD TIME</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">10/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper deals with an integrated vendor buyer supply chain and investigates the impact of lead time reduction on the modified continuous review inventory system where lead time and ordering cost reductions act dependently. Two models are constructed based on the probability distribution of the lead time demand. The objective of this paper is to minimize the total system cost by simultaneously optimizing the order quantity, lead time and reorder point. Moreover, the lead time demand is assumed to be normally distributed. A procedure of finding the optimal solution is developed. Furthermore, the sensitivity analysis is included and the numerical examples are given to illustrate the results. Finally, the graphical representation is presented to illustrate the model.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">411</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JAGAN MOHAN JONNALAGADDA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Fractional Nabla Difference Equations</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">39A23</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this article, we discuss periodic properties of nonlinear fractional nabla difference systems. First, we prove that any given system of fractional nabla difference equations doesn’t possess a nonconstant periodic solution. Next, we establish sufficient conditions on existence and uniqueness of S-asymptotically periodic solutions for the same. Finally, we provide few examples to illustrate the applicability of established results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">585</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KARIMA BESSIOUD</style></author><author><style face="normal" font="default" size="100%">ABDELOUAHEB ARDJOUNI</style></author><author><style face="normal" font="default" size="100%">AHCENE DJOUDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS OF SECOND-ORDER SYSTEMS WITH SINGULARITIES AND DEVIATING ARGUMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we use Schauder’s fixed point theorem to prove that the second-order systems with singularities and deviating arguments&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$( x ′′ (t) + a1 (t) x (t) = f1 (t, y (t − τ1 (t))) + e1 (t), $$&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$y ′′ (t) + a2 (t) y (t) = f2 (t, x (t − τ2 (t))) + e2 (t),$$&lt;/p&gt;

&lt;p&gt;has a positive periodic solution, where ai , τi ∈ L 1 (R/TZ, R+), ei ∈ L 1 (R/TZ, R) and fi (i = 1, 2) are Carath´eodory functions and have singularities at the origin. An example is also given to illustrate our work.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">223</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. BENMEZAI</style></author><author><style face="normal" font="default" size="100%">J. HENDERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTION FOR A SECOND ORDER BVP WITH SINGULAR SIGN-CHANGING NONLINEARITY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">POSITIVE SOLUTION FOR A SECOND ORDER BVP</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We discuss existence of at least one positive solution to the singular second-order two point boundary value problem,    − (pu′ ) ′ (t) = f(t, u(t)), t ∈ (0, 1), au(0) − b limt→0 p(t)u ′ (t) = 0, cu(1) + d limt→1 p(t)u ′ (t) = 0, where a, b, c, d ∈ [0, +∞), p : (0, 1) → [0, +∞) is a measurable function, and f : (0, 1) × R → R is a Carath´eodory function.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">37</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUSSADEK REMILI</style></author><author><style face="normal" font="default" size="100%">LYNDA D. OUDJEDI</style></author><author><style face="normal" font="default" size="100%">DJAMILA BELDJERD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE QUALITATIVE BEHAVIORS OF SOLUTIONS TO A KIND OF NONLINEAR THIRD ORDER DIFFERENTIAL EQUATION WITH DELAY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">QUALITATIVE BEHAVIOR OF SOLUTIONS </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;By defining an appropriate Lyapunov functional, we establish some new sufficient conditions to the asymptotically stability and boundedness of the solutions for a kind of nonautonomous differential equations of third order. Our results improve and extend some known results in the literature.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">53</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DHANYA SHAJIN</style></author><author><style face="normal" font="default" size="100%">BINITHA BENNY</style></author><author><style face="normal" font="default" size="100%">T.G. DEEPAK</style></author><author><style face="normal" font="default" size="100%">A. KRISHNAMOORTHY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A RELOOK AT QUEUEING-INVENTORY SYSTEM WITH RESERVATION, CANCELLATION AND COMMON LIFE TIME</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Queueing-Inventory System</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60J10</style></keyword><keyword><style  face="normal" font="default" size="100%">60K25</style></keyword><keyword><style  face="normal" font="default" size="100%">90B22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study an M/M/1 queue with a storage system having capacity S which have a common life time (CLT), exponentially distributed. On realization of common life time or the first time inventory level drops to zero in a cycle whichever occurs first, a replenishment order is placed so as to bring the inventory level back to S (zero lead time). Customers arrive to the system according to a Poisson process and their service time is exponentially distributed. Reservation of items and cancellation of sold items is permitted before the realization of common life time. Cancellation takes place according to an exponential distribution. In this paper we assume that the time required to cancel the reservation is negligible. When the inventory level becomes zero through service completion or CLT realization, a replenishment order is placed which is realized instantly. We first derive the stationary joint distribution of the queue length and the on-hand inventory in product form. Using the joint distribution, we introduce long-run performance measures and a revenue function. The case of positive lead time is also investigated. Numerical illustrations are provided.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">545</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. MURSALEEN</style></author><author><style face="normal" font="default" size="100%">TAQSEER KHAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME APPROXIMATION RESULTS FOR THE STANCU TYPE Q-BERNSTEIN-SCHURER-KANTOROVICH OPERATORS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SOME APPROXIMATION RESULTS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A10</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we introduce the Stancu type generalization of the q-Bernstein-Schurer-Kantorovich operators and examine their approximation properties. We investigate the convergence of our operators with the help of the Korovkin’s approximation theorem and examine the convergence of these operators in the Lipschitz class of functions. Finally, we introduce the bivariate analogue of these operators and study some results for the bivariate case.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">187</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALI TAGHAVI</style></author><author><style face="normal" font="default" size="100%">ROHOLLAH PARVINIANZADEH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE SPECTRUM IN BANACH HYPERALGEBRAS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">THE SPECTRUM IN BANACH HYPERALGEBRAS </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46J10</style></keyword><keyword><style  face="normal" font="default" size="100%">47B48</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">09/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we introduce Banach hyperalgebras and the concept spectrum in hyperalgebras. Moreover, we consider the multiplicative &lt;em&gt;w&lt;/em&gt;-linear functionals on Banach hyperalgebra &lt;em&gt;A&lt;/em&gt; and give some results in this direction&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">291</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JAMEL BEN AMARA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SYSTEMS-DISCONJUGACY OF A FOURTH-ORDER DIFFERENTIAL EQUATION WITH A MIDDLE TERM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">SYSTEMS-DISCONJUGACY </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Systems-conjugate points have been introduced and studied by John Barrett [3] in relation with the self-adjoint fourth order differential equation (r(x)y ′′) ′′ − (q(x)y ′ ) ′ = p(x)y, where r(x) &amp;gt; 0, p(x) &amp;gt; 0 and q ≡ 0. In this paper we extend some of his results to more general cases, when q(x) is free of any sign restrictions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">25</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AKHLAD IQBAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON  φh-PREINVEX FUNCTIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we define a new class of functions called ϕh-preinvex functions, which generalize preinvex, ϕ-convex and h-preinvex functions. Some examples are constructed which show that it is the most generalized class. Furthermore, several properties are discussed and some integral inequalities are established.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">175</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SOTIRIS K. NTOUYAS</style></author><author><style face="normal" font="default" size="100%">JESSADA TARIBOON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH NONLOCAL AND RIEMANN-LIOUVILLE INTEGRAL BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study a new class of boundary value problems for fractional differential equations and inclusions with nonlocal and integral boundary conditions. Some new existence and uniqueness results are obtained by using fixed point theorems. Illustrative examples are also presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">605</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">YOUSSEF N. RAFFOUL</style></author><author><style face="normal" font="default" size="100%">MEHMET UNAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDEDNESS, PERIODIC SOLUTIONS AND STABILITY IN NEUTRAL FUNCTIONAL DELAY EQUATIONS WITH APPLICATION TO BERNOULLI TYPE DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We use Two fixed point theorems to prove the existence of Bounded solution, periodic solution and stability of solutions of the functional neutral differential equation $${ \frac{d}{dt} [x(t) − cx(t − τ)] = −a(t)x(t − r_1) + b(t)f(x(t − r_2(t)). }$$ Then we apply our results to the neutral Bernoulli differential equation $${ \frac{d}{dt} [x(t) − cx(t − τ)] = −a(t)x(t − r_1) + b(t)x^{\frac{1}{3}} (t − r_2(t)). }$$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">149</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LYNN ERBE</style></author><author><style face="normal" font="default" size="100%">TAHER S. HASSAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPARISON THEOREMS FOR HIGHER ORDER FORCED NONLINEAR FUNCTIONAL DYNAMIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The purpose of this paper is to establish comparison criteria for higher order forced nonlinear dynamic equation with mixed nonlinearities $${ \left\{&amp;nbsp; r_{n−1}(t) (r_{n−2}(t)(· · ·(r_1(t)x^∆(t))^∆ · · ·)^∆)^∆&amp;nbsp; \right\}^∆ + \sum_{j=0}^{N} &amp;nbsp;p_j (t) ϕ_{γ_j} ( x (\varphi_j (t)) &amp;nbsp;= g(t) , }$$ on an above-unbounded time scale${ \mathbb{T} }$, where ${ n ≥ 2}$. The results improve the main results of a number of recent papers and are established for a time scale ${ \mathbb{T} }$ without assuming certain restrictive conditions on ${ \mathbb{T} }$.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">79</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. AMINI-HARANDI</style></author><author><style face="normal" font="default" size="100%">D. O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON COUPLED AND TRIPLED FIXED POINT THEORY OF MULTI-VALUED CONTRACTION MAPPINGS IN PARTIALLY ORDERED METRIC SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">7</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we present a new and simple approach to coupled fixed point theory of multi-valued maps. By using our method, we first give a very simple proof of the recent coupled fixed point theorems established by Samet and Vetro [B. Samet, C. Vetro, Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis 74(2011), 4260-4268.] Then, we use our technique to present a new tripled fixed point theorem in a general setting.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">209</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author><author><style face="normal" font="default" size="100%">SHYAM B. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DIFFERENTIAL INEQUALITIES AND COMPARISON THEOREMS FOR NONLINEAR FIRST ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, some fundamental results concerning the strict and nonstrict integrodifferential inequalities, existence and existence of the maximal and minimal solutions and comparison theorems are proved for a first order hybrid intero-differential equation with a linear perturbations of second type under some natural conditions. Our results include the well-known results of Lakshmikantham and Rama Mohana Rao (1995) on integro-differential equations as spacial cases. The realization of our main existence result is also illustrated with a couple of numerical examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">287</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Rahmat Ali Khan</style></author><author><style face="normal" font="default" size="100%">KAMAL SHAH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS OF SOLUTIONS TO FRACTIONAL ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">33C45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study sufficient conditions for existence and uniqueness of solutions to boundary value problems for fractional order differential equations of the form$${ −^cD^q_u(t) = f(t, u(t)); \ \ \&amp;nbsp; t ∈ J = [0, 1], \ \ 1 &amp;lt; q ≤ 2, \\ u(0) = g(u), \ \&amp;nbsp; u(1) − \sum^{m−2}_{i=1} λ_iu(η_i) = h(u), }$$&amp;nbsp;where ${ λ_i , η_i ∈ (0, 1) }$ with ${ \sum^{m−2}_{i=1} λ_iη_i &amp;lt; 1, \ \ g, h ∈ C(J, \mathbb{R}) }$ are boundary functions and ${ f : J ×\mathbb{R}×\mathbb{R} → \mathbb{R} }$ is continuous. We use a fixed point theorem for condensing maps to establish sufficient conditions for existence as well as uniqueness of solutions to the boundary value problem. We provide an example to verify the applicability of our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">515</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PUSHP R. AWASTHI</style></author><author><style face="normal" font="default" size="100%">LYNN H. ERBE</style></author><author><style face="normal" font="default" size="100%">ALLAN C. PETERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS RESULTS FOR POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENCE EQUATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we are concerned with the fractional self-adjoint equation $${∆^µ_{µ−1} (p∆x)(t) + q(t + µ − 1)x(t + µ − 1) = h(t), \ \ \ t ∈ \mathbb{N}_0, \ \ \ \&amp;nbsp; (0.1) }$$ where ${ 0 &amp;lt; µ ≤ 1, \ p : \mathbb{N}_{µ−1} → (0, ∞), \ q : \mathbb{N}_{µ−1} → [0, ∞), \&amp;nbsp; h : \mathbb{N}_0 → \mathbb{R} }$. Our sole reason for calling this equation self-adjoint is that when ${µ = 1}$&amp;nbsp; we get the well-studied second order self-adjoint difference equation [16, Chapters 6-9]. We will prove various results concerning the existence and uniqueness of positive solutions of the nonlinear fractional equation$${ ∆^µ_{µ−1} (p∆x)(t) + F(t, x(t + µ − 1)) = 0, \ t ∈ \mathbb{N}_0, \ \ \ \ \ \ &amp;nbsp;\ (0.2) }$$ where ${ 0 &amp;lt; µ ≤ 1, \ p : \mathbb{N}_{µ−1} → (0, ∞)}$, and ${F : \mathbb{N}_0 × \mathbb{R} → [0, ∞) }$ by applying the Contraction Mapping Theorem. We also give examples illustrating our main results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">61</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DOUGLAS R. ANDERSON</style></author><author><style face="normal" font="default" size="100%">RICHARD I. AVERY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF A SOLUTION TO A CONJUGATE BOUNDARY VALUE PROBLEM APPLYING A COROLLARY OF THE OMITTED RAY FIXED POINT THEOREM</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper presents a corollary of the omitted ray fixed point theorem with an example that utilizes a non-standard existence of solutions argument, in conjunction with the mean value theorem, to prove the existence of a solution to a conjugate boundary value problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">403</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF LOCAL SOLUTIONS FOR BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Conditions are given for the existence of local solutions of the nth order ordinary differential equation, ${ y^{(n)}+f(x, y, y′ , . . . , y^{(n−1)}) = 0 }$, satisfying the respective Dirichlet and nonlocal integral boundary conditions, ${ y^{(i−1)}(a) = A_i ,\&amp;nbsp; i = 1, . . . , n − 1,}$ and ${\int^b_a y(x) dx = A_n }$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">103</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eric R. Kaufmann</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF POSITIVE SOLUTIONS TO A SECOND-ORDER DIFFERENTIAL EQUATION AT RESONANCE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish sufficient conditions for the existence of positive solutions to the multipoint boundary value $${ −u ′′ = f(t, u(t)), \ \ \ \ t ∈ (0, 1), \\ \ \ \&amp;nbsp; u(0) = u(1), \\ \ \ u ′ (0) = u ′ (η). }$$ Since the associated homogeneous boundary value problem is not invertible the problem is said to be at resonance. The main tool employed is a variant of a fixed point index theorem due to Cremins for A-proper semilinear operators defined on cones.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">505</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RODICA LUCA</style></author><author><style face="normal" font="default" size="100%">ALEXANDRU TUDORACHE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF POSITIVE SOLUTIONS TO A SYSTEM OF HIGHER-ORDER SEMIPOSITONE INTEGRAL BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We investigate the existence of positive solutions for a system of nonlinear higherorder ordinary differential equations with sign-changing nonlinearities, subject to integral boundary conditions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">589</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">F. A. MCRAE</style></author><author><style face="normal" font="default" size="100%">J.VASUNDHARA DEVI</style></author><author><style face="normal" font="default" size="100%">Z. DRICI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULT FOR PERIODIC BOUNDARY VALUE PROBLEM OF SET DIFFERENTIAL EQUATIONS USING MONOTONE ITERATIVE TECHNIQUE</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The study of set differential equations(SDE)[1] is useful as it encompasses the study of scalar differential equations and vector differential equations as special cases and further this study is done in a semilinear metric space. The monotone iterative technique (MIT) [2] is a flexible mechanism to obtain monotone sequence that converge to the extremal solutions of the considered problem. The study of periodic boundary value problems(PBVP) is complicated and more so in the case of SDEs, where the constraints are many. Hence the construction of MIT for PBVP for set differential equations has not been done till now. In [3] MIT for PBVP was developed using monotone sequences, which are solutions of the initial value problem [IVPs] of linear differential equations. These solutions are unique and hence the monotone sequences obtained are unique and they converge to a unique function which is shown to be a solution of the considered PBVP. The special advantage obtained with this approach is that working with IVPs of linear differential equations is easy and the uniqueness of the solution of the PBVP is guaranteed with no extra assumptions or effort. In this paper, using the approach utilized in [3] we develop the MIT for PBVP for SDEs.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">245</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JAMAL E. LAZREG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we establish the existence and uniqueness of solutions for a class of initial value problems for implicit fractional differential equations with impulse and Caputo fractional derivative. The arguments are based upon the Banach contraction principle, and Schaefer’s fixed point theorem. As applications, two examples are included to show the applicability of our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">413</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LINSHAN WANG</style></author><author><style face="normal" font="default" size="100%">KUISEN MA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXPONENTIAL STABILITY OF STOCHASTIC COHEN-GROSSBERG-TYPE BAM NEURAL NETWORKS WITH S-TYPE DISTRIBUTED DELAYS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K30</style></keyword><keyword><style  face="normal" font="default" size="100%">34K50</style></keyword><keyword><style  face="normal" font="default" size="100%">60H15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is concerned with exponential stability in mean square for stochastic Cohen-Grossberg-type BAM neural networks with S-type distributed delays. By using Lyapunov functional method and with the help of stochastic analysis technique, the sufficient conditions to guarantee the exponential stability in mean square for the neural networks are obtained. An example is given to demonstrate the advantage and applicability of the proposed results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">343</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIXED POINT RESULTS FOR MAPS WITH WEAKLY SEQUENTIALLY CLOSED GRAPHS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H04</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H14</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we present an alternative of Leray-Schauder type and a fixed point result of Furi-Pera type. An application is given to illustrate our theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">235</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CHENGJUN GUO</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">FEIQI DENG</style></author><author><style face="normal" font="default" size="100%">RAVI P.AGARWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIXED POINTS AND EXPONENTIAL STABILITY FOR UNCERTAIN STOCHASTIC NEURAL NETWORKS WITH MULTIPLE MIXED TIME-DELAYS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K50</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">93Dxx</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">17</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we study the stability of a stochastic neural networks with parameter uncertainties and multiple time delays $${ dx \ \ = [−(A + △A(t))x(t) + (B + △B(t))f(t, x(t), x(t − τ_1(t)), . . . , x(t − τ_m(t)))}$$ $${ + \sum^{k}_{p=1} (W_p + △W_p(t)) \int^t_{t−r_p(t)} g_p(x(s))ds]dt + \sum^l_{j=1} h_j (t, x(t), x(t − σ_j (t)))dw(t).}$$ Using fixed point theory and a linear matrix inequality(LMI), we obtain new criteria for exponential stability in mean square of the considered uncertain stochastic neural networks with multiple mixed time-delays.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">191</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NICKOLAI KOSMATOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A FOURTH-ORDER SEMIPOSITONE BOUNDARY VALUE PROBLEM</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We apply Krasnosel’ski˘ı’s fixed point theorem [6] to study the semipositone eigenvalue problem $${ u^{(4)}(t) + ω^2u ′′(t) = λf(t, u(t)), \ \ \ 0 &amp;lt; t &amp;lt; 1, \\ u(0) = u(1) = u ′′(0) = u ′′(1) = 0. }$$ We show that there exist at least two positive solutions for a sufficiently small value of λ &amp;gt; 0.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">543</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author><author><style face="normal" font="default" size="100%">QINGKAI KONG</style></author><author><style face="normal" font="default" size="100%">MIN WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A FRACTIONAL BOUNDARY VALUE PROBLEM WITH DIRICHLET BOUNDARY CONDITION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B27</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, the authors study a nonlinear fractional boundary value problem consisting of the equation$${ −D^α_{0+}u + aD^β_{0+}u = w(t)f(u), \ \ \ 1 &amp;lt; α &amp;lt; 2, 0 ≤ β &amp;lt; 1, }$$ and the Dirichlet boundary condition. The associated Green’s function is derived in terms of the generalized Mittag-Leffler function, and the existence of solutions is established based on it.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">497</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">TINGXIU WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZATION OF GRONWALL’S INEQUALITY AND ITS APPLICATIONS IN FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K38</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/15.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we briefly review the recent development of research on Gronwall’s inequality. Then obtain a result for the following nonlinear integral inequality: $${ w(u(t)) ≤ K + \sum^{n}_{i=1} \int_{α_i} (t_0)^{α_{i}(t)} f_i(s) \ \prod^{m}_{j=1} H_{ij} (u(s))G_{ij}&amp;nbsp;\left( &amp;nbsp; \underset{s−h≤ξ≤s}{max}&amp;nbsp; \&amp;nbsp; u(ξ) \right)&amp;nbsp;ds. }$$ As an application, we study the abstract functional differential equation, ${ \frac{du}{dt} = f(t, u_t) }$ with Lyapunov’s second method. Then, we obtain an estimate of solutions of functional differential equations, ${ u ′ = F(t, u_t) }$ with conditions like: $${&amp;nbsp; i) \ \ \ \&amp;nbsp; W_1(|u(t)|_X) ≤ V (t, u_t) ≤ W_2(\|{u_t}\|_{CX})&amp;nbsp; \\ ii) \ \ \ \ V ′_{(3.1)}(t, u_t) ≤ 0. }$$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">679</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL EXISTENCE AND CONVERGENCE ANALYSIS FOR HYBRID DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper some fundamental results concerning the global existence, convergence theorem and continuous dependence on the initial data are proved for the nonlinear hybrid differential equations with a linear perturbation of second type via applications of differential inequalities with a comparison principle. The results of this paper are complementary to the work presented in a recent papers of Dhage and Jadhav (2013) and Dhage (2014).&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">439</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LYNN ERBE</style></author><author><style face="normal" font="default" size="100%">TAHER S. HASSAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HILLE AND NEHARI TYPE CRITERIA FOR HIGHER ORDER FUNCTIONAL DYNAMIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A9</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study the higher order functional dynamic equation $$\left\{&amp;nbsp; r_{n−1}(t) (&amp;nbsp;r_{n−2}(t)\left(...(r_1(t)x^∆(t))^∆ ...)^∆ \right)^∆ \right\}^∆ + p (t) x (g (t)) = 0,$$ on a time scale ${ \mathbb{T} }$, which is unbounded above, and where ${ n ≥ 2}$ . We will extend the so-called Hille and Nehari type criteria to higher order dynamic equations on time scales. Our results are essentially new even for higher order differential and difference equations. Therefore, the results obtained extend and improve several known results in the literature on second-order and third-order dynamic equations. We illustrate these new results by means of several examples.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">463</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DOUGLAS R. ANDERSON</style></author><author><style face="normal" font="default" size="100%">ENNA OTTO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYERS–ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS WITH VANISHING COEFFICIENTS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A05</style></keyword><keyword><style  face="normal" font="default" size="100%">34A30</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish the Hyers-Ulam stability of certain first-order linear differential equations where the coefficients are allowed to vanish. We then extend these results to higher-order linear differential equations with vanishing coefficients that can be written with these first-order factors.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">15</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author><author><style face="normal" font="default" size="100%">MIN WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INFINITELY MANY HOMOCLINIC SOLUTIONS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH p-LAPLACIAN</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37C20</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">58E0</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation $${ −∆a(k)\phi_p(∆u(k − 1))&amp;nbsp;+ b(k)\phi_p(u(k)) = λf(k, u(k))), \ \&amp;nbsp; k ∈ \mathbb{Z} }$$, where ${p &amp;gt; 1}$ is a real number, ${ \phi_p(t) = |t|^{p−2} t}$&amp;nbsp; for ${ t ∈ \mathbb{R},\ \ λ &amp;gt; 0}$ is a parameter, ${ a, b : \mathbb{Z} → (0, ∞), }$ and ${ f : \mathbb{Z} × \mathbb{R} → \mathbb{R} }$ is a continuous function in the second variable. Some known work in the literature is extended.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">95</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IAN PIERCE</style></author><author><style face="normal" font="default" size="100%">DAVID SKOUG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INTEGRATING PATH-DEPENDENT FUNCTIONALS ON YEH-WIENER SPACE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">28C20</style></keyword><keyword><style  face="normal" font="default" size="100%">60J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/13.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Denote by ${ C_{a,b}(Q) }$ the generalized two-parameter Yeh-Wiener space with associated Gaussian measure. We investigate several scenarios in which integrals of functionals on this space can be reduced to integrals of related functionals over an appropriate single-parameter generalized Wiener space ${ C_{ \hat{a},\hat{b}} [0, T ]. }$This extends some interesting results of R. H. Cameron and D. A. Storvick.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">643</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FERHAN M. ATICI</style></author><author><style face="normal" font="default" size="100%">PAUL W. ELOE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LINEAR FORWARD FRACTIONAL DIFFERENCE EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we continue our study of the linear forward fractional difference equation. We define a convolution and obtain a convolution theorem for the R-transform. We then apply a transform method and obtain a variation of parameters formula for the equation ${ −∆^νy(t) + λy(t + ν − 1) = h(t + ν − 2)}$, where ${1 &amp;lt; ν ≤ 2}$. We introduce two discrete Mittag-Leffler type functions and address their convergence.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">31</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author><author><style face="normal" font="default" size="100%">MERVE KESTER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Lp APPROXIMATION WITH RATES BY GENERALIZED DISCRETE SINGULAR OPERATORS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">41A17</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Here we give the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular operators. We treat both the unitary and non-unitary cases of the operators above. We derive quantitatively ${Lp}$ convergence of these operators to the unit operator by involving the ${Lp}$ higher modulus of smoothness of an ${ Lp(\mathbb{R}) }$ function.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">217</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">QINGKAI KONG</style></author><author><style face="normal" font="default" size="100%">THOMAS E. ST. GEORGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MATCHING METHOD FOR NODAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study the nonlinear boundary value problem consisting of the equation ${ y′′+ \int^{b}_{a} &amp;nbsp;w(t, τ)f(y, τ) \ dζ(τ) = 0 }$ on&amp;nbsp; [a, b] and a double Riemann-Stieltjes integral boundary condition. We establish the existence of various nodal solutions of this problem by matching the solutions of two boundary value problems, each of which involves one separated boundary condition and open Riemann-Stieltjes integral boundary condition, at some point in (a, b). We also obtain the conditions for nonexistence of nodal solutions of this boundary value problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">129</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AMIT K. VERMA</style></author><author><style face="normal" font="default" size="100%">MANDEEP SINGH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MAXIMUM PRINCIPLE AND NONLINEAR THREE POINT SINGULAR BOUNDARY VALUE PROBLEMS ARISING DUE TO SPHERICAL SYMMETRY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16. 34B27</style></keyword><keyword><style  face="normal" font="default" size="100%">34B60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the following class of nonlinear three point singular boundary value problems (SBVPs) $${&amp;nbsp; −y ′′(x) −\frac{2}{x} y ′ (x) = f(x, y), \ \ \ \&amp;nbsp; 0 &amp;lt; x &amp;lt; 1, }$$ $${&amp;nbsp;y ′ (0) = 0, \ \ \ \ &amp;nbsp;y(1) = δy(η), }$$ where ${ δ &amp;gt; 0 }$ and ${ 0 &amp;lt; η &amp;lt; 1}$. We establish some new maximum principles. Further using these maximum principles and monotone iterative technique in the presence of upper and lower solution we prove existence of solutions for the above class of nonlinear three point SBVPs. Here the nonlinear term is one sided Lipschitz continuous in its domain, also ${ x = 0 }$&amp;nbsp;is regular singular point of the above differential equation&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">175</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. O. OGUNDIRAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE MILD SOLUTIONS OF QUANTUM STOCHASTIC EVOLUTION INCLUSIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">81S25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Under a Filippov-type assumption, a study of the Quantum stochastic evolution inclusions is done in this paper. Given a quantum stochastic evolution inclusions: $${&amp;nbsp; dx(t) ∈ Ax(t) + \int^t_0 K(t, s)(E(s, x(s))dΛ_π(s) + F(s, x(s))dA_f (s) }$$ $${ + G(s, x(s))dA^{+}_g (s) + H(s, x(s))ds) \ \ \ \ \ \ \ \ \ \ \ \ }$$ $${ x(t_0) = x_0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$$ where ${ A }$ is the infinitesimal generator of a ${ C_0 }$-semigroup of operators, ${ K }$ is a continuous function and ${ E, F, G, H }$ are Lipschitzian multivalued stochastic processes. We established the existence of mild solutions of the quantum stochastic evolution inclusions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">307</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZACHARY DENTON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE METHOD FOR MULTI-ORDER 2-SYSTEMS OF RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34A38</style></keyword><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we develop the monotone method for nonlinear multi-order 2-systems of Riemann-Liouville fractional differential equations. That is, a hybrid system of nonlinear equations of orders ${ q1 }$ and ${ q2 }$ where ${ 0 &amp;lt; q1, q2 &amp;lt; 1.}$ In the development of this method we recall any needed existence results along with any necessary changes; including results from needed linear theory. Further we prove a comparison result paramount for the discussion of fractional multi-order inequalities that utilizes lower and upper solutions of the system. The monotone method is then developed via the construction of sequences of linear systems based on the upper and lower solutions, and are used to approximate the solution of the original nonlinear multi-order system.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RICHARD AVERY</style></author><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">XUEYAN LIU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE FIXED POINT THEOREMS WITH OMITTED RAY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper presents several multiple fixed point theorems that utilize a functional version of Altman’s condition as an alternative to the standard inward-outward techniques used in the Krasnoselskii and Leggett-Williams type fixed point theorems. An example is included to illustrate the new technique in showing the existence of solutions to boundary value problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">43</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SESHADEV PADHI</style></author><author><style face="normal" font="default" size="100%">SMITA PATI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR FIRST ORDER FUNCTIONAL DIFFERENCE EQUATION WITH APPLICATION TO HEMATOPOIESIS MODEL</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Sufficient conditions are obtained for the existence of at least three positive &lt;em&gt;T&lt;/em&gt; - periodic solutions for the first order functional difference equation $$ { ∆x(n) = −a(n)x(n) + f(n, x(h(n))). }$$ The Leggett-Williams multiple fixed point theorem has been used to prove our results. We have applied our results to Hematopoiesis models in population dynamics and obtained an interesting result. The result is new in the literature.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">319</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. R. PRASAD</style></author><author><style face="normal" font="default" size="100%">K. R. KUMAR</style></author><author><style face="normal" font="default" size="100%">N. SREEDHAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE POSITIVE SOLUTIONS FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH TERNARY SYSTEM OF DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper establishes the existence of multiple positive solutions for ternary system of higher order two-point boundary value problems by using five functionals fixed point theorem. We also establish the existence of at least ${ 2k − 1 }$ positive solutions to the boundary value problem for an arbitrary positive integer ${k.}$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">329</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PAUL ELOE</style></author><author><style face="normal" font="default" size="100%">JEFFREY W. LYONS</style></author><author><style face="normal" font="default" size="100%">JEFFREY T. NEUGEBAUER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN ORDERING ON GREEN’S FUNCTIONS FOR A FAMILY OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A08</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let ${ 2 ≤ n }$&amp;nbsp; denote an integer and let ${ n−1 &amp;lt; α ≤ n.}$ For each ${0 &amp;lt; b, 0 ≤ β ≤ n−1 }$, the authors will construct the Green’s function,${ G(b, β;t, s),}$ of the two-point boundary value problem for the fractional differential equation $${ D^α_{0+}u + h(t) = 0, \ \ \ 0 &amp;lt; t &amp;lt; b, }$$ $${ u^{(i)} (0) = 0, \ \ \&amp;nbsp; i = 0, . . . n − 2, \ \ \ D^β_{0+}u(b) = 0,}$$ where ${ D^α_{0+} }$ and ${ D^β_{0+} }$ denote the standard Riemann-Liouville derivatives. The authors will compare Green’s functions, ${ G(b1, β;t, s) }$ and ${ G(b2, β;t, s) }$ or ${ G(b, β1;t, s)}$&amp;nbsp; and ${ G(b, β2;t, s),}$ and the authors will show the existence of a unique limiting function as ${ b → ∞.}$ An application to a nonlinear problem will be given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">453</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAVI P. AGARWAL</style></author><author><style face="normal" font="default" size="100%">SAID R. GRACE</style></author><author><style face="normal" font="default" size="100%">TAHER S. HASSAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA FOR HIGHER ORDER NONLINEAR FUNCTIONAL DYNAMIC EQUATIONS WITH MIXED NONLINEARITIES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">33</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we will consider the higher-order functional dynamic equations with mixed nonlinearities of the form $${ \left\{&amp;nbsp;&amp;nbsp;r_{n−1}(t) \phi_{αn−1} [ (r_{n−2}(t)(· · ·(r_1(t)\phi_{α1} [x^∆(t)])^∆ · · ·)^∆)^∆] \right.\} ^∆ + \sum^{N}_{ j=0} p_j (t)\phi_{γj} (x^σ (g_j (t))) = 0, }$$ on an above-unbounded time scale ${ \mathbb{T} }$, where ${ n ≥ 2 }$, and ${ \phi_β(u) := |u|^{β−1} \&amp;nbsp; u, β &amp;gt; 0. }$&amp;nbsp; The funtions ${ g_j : \mathbb{T} → \mathbb{T} }$ are rd-continuous functions such that ${ lim_{t→∞} g_j (t) = ∞, \&amp;nbsp; j = 0, 1, . . . , N. }$ The results extend and improve some known results in the literature on higher order nonlinear dynamic equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">369</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAEGAN HIGGINS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF CERTAIN DYNAMIC EQUATIONS ON TIME SCALES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Oscillation criteria are established for second-order nonlinear nabla dynamic equations on an isolated time scale ${ \mathbb{T} }$. Our main goal is to establish a relationship between the oscillatory behavior of these equations. We also give two results about the behavior of a second-order self-adjoint equation with mixed derivatives on a time scale that is unbounded above. We use the Riccati transformation technique to obtain our results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">113</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SAID GRACE</style></author><author><style face="normal" font="default" size="100%">ELVAN AKIN</style></author><author><style face="normal" font="default" size="100%">RAWI AGARWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATORY THEOREMS FOR CERTAIN SECOND ORDER DAMPED DYNAMIC INCLUSIONS WITH DISTRIBUTED DEVIATING ARGUMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SECOND ORDER DAMPED DYNAMIC INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34N05</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We shall establish some new criteria for the oscillation of second order nonlinear damped dynamic inclusions with distributed deviating arguments on time scales.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">3</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BO YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR A BOUNDARY VALUE PROBLEM OF THE DISCRETE BEAM EQUATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/16.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study a boundary value problem for the discrete beam equation. Some upper and lower estimates for positive solutions of the problem are obtained. Sufficient conditions for the existence and nonexistence of positive solutions are established.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">689</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">QINGKAI KONG</style></author><author><style face="normal" font="default" size="100%">MICHAEL MCCABE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the boundary value problem consisting of the higher-order fractional differential equation$${ (−1)^m (D^α_{0+})^m u = f(t, u), \ \ 0 &amp;lt; t &amp;lt; 1, }$$ and the boundary conditions $${ \left( (D^α_{0+})^i u \right)&amp;nbsp;(0) = \left( (D^α_{0+})^i u\right) (1) = 0, \ \ i = 0, 1, . . . , m − 1, }$$ where ${ 1 &amp;lt; α &amp;lt; 2, m ∈ \mathbb{N},\ \&amp;nbsp; D^α_{0+} }$ is the Riemann-Liouville fractional differential operator, and ${ \ {(}D^α_{0+})^{j+1} = D^α_{0+}\ {(} D^α_{0+}\ {)}^j}$&amp;nbsp;for ${ j = 0, . . . , m − 1, }$ with ${ \ {(}D^α_{0+}\ {)}^0 = I, }$ the identity operator. By finding the Green’s function using the iteration method and applying the Krasnosel’skii fixed point theorem, we establish the existence of one, two, any finite number, and even a countably infinite number of positive solutions. Criteria for the nonexistence of positive solutions are also obtained. Our results cover, improve, and complement those by Jiang and Yuan for the case&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">527</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelkader Boucherif</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF NONLOCAL MULTIPOINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We investigate the existence of positive solutions of nonlocal multipoint boundary value problems for second order nonlinear differential equations. The nonlinearity depends on the derivative of the unknown function, and is allowed to change sign infinitely many times. We rely the method of lower and upper solutions to prove our main result. In fact, using the same technique, we obtain a multiplicity result without extra assumptions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">427</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HAIRONG LIAN</style></author><author><style face="normal" font="default" size="100%">HAIYAN WANG</style></author><author><style face="normal" font="default" size="100%">MENGNIEN WU</style></author><author><style face="normal" font="default" size="100%">TANGAN GAO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF SINGULAR ALGEBRAIC SYSTEMS WITH A PARAMETER</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">65H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study positive solutions of singular systems of nonlinear algebraic equations with a parameter. With singularity at the origin, superlinearity or sublinearity at infinity, the existence and multiplicity of positive solutions are established. The proof of the results is based on Krasnoselskii fixed point theorem. Some examples are gave to illusive the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">565</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CURTIS KUNKEL</style></author><author><style face="normal" font="default" size="100%">ASHLEY MARTIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS TO SINGULAR HIGHER ORDER BOUNDARY VALUE PROBLEMS ON PURELY DISCRETE TIME SCALES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study singular discrete higher order boundary value problems with mixed boundary conditions of the form $${ u^{∆^n} (t_{i−(n−1)}) + f(t_i , u(t_i), . . . , u^{∆^{n−1}} (t_{i−(n−1)})) = 0,}$$&amp;nbsp; $${ u^{∆^{n−1}} (t_0) = u^{∆^{n−2}} (t_{N+1}) = u^{∆^{n−3}} (t_{N+2}) = · · · = u^∆(t_{N+n−2}) = u(t_{N+n−1}) = 0, }$$ over a finite discrete interval ${ \mathbb{T} = {t_0, t_1, . . ., t_{N+n−2}, t_{N+n−1}}.}$ We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">553</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. G. MEDHIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SEMICLASSICAL ASYMPTOTIC APPROACH TO OPTIMAL CONTROL OF A QUANTUM DYNAMICS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K25</style></keyword><keyword><style  face="normal" font="default" size="100%">49J20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;An approach to the analysis of a control problem of a model quantum mechanical system under the influence of an electric field is studied via asymptotic method. The quantum mechanical system presented deals with a linear tri-atomic molecule. The purpose of this effort is to gain insight into the problem of designing an appropriate pulse to break a specific bond while leaving the other minimally disturbed. The asymptotic analysis of the model provides an opportunity to analyze and gain some insight into the interplay between the constituent parameters of the field and duration of the pulse as well the energy required to achieve the desired objective, and the mathematical difficulty inherent in the problem. The asymptotic method is used in constructing an appropriate multiobjective control problem to stretch/break the stronger bond while minimally disturbing the weaker bond with minimum energy.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">257</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">XUEYAN LIU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE SOLUTION MATCHING BY LIAPUNOV THEORY OF BVPS WITH ODD GAPS IN BOUNDARY CONDITIONS FOR nTH ORDER DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We are concerned with the existence and uniqueness of solutions to boundary value problems on an interval [a, c] for the nth order ordinary differential equation ${ y^{(n)} = f(x, y, y′ , . . . , y^{(n−1)}), }$ for ${n ≥ 3,}$ by matching solutions on [a, b] with solutions on [b, c] to extend the interval of existence for solutions. In this paper, we consider a general case where the gap in boundary conditions at b is odd. Different from the literature, we use Liapunov theory to deal with the case&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">579</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. R. PRASAD</style></author><author><style face="normal" font="default" size="100%">B. M. B. KRUSHNA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOLVABILITY OF p-LAPLACIAN FRACTIONAL HIGHER ORDER TWO-POINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">35J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/14.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;. In this paper, we consider &lt;em&gt;p-&lt;/em&gt;Laplacian fractional higher order two-point boundary value problems. We establish criteria to determine the values of parameter λ&lt;em&gt; &lt;/em&gt;for which the pLaplacian fractional order eigenvalue problem has at least one positive solution. Later, we establish sufficient conditions for the existence of even number of positive solutions for p-Laplacian fractional order boundary value problem by applying an Avery-Henderson functional fixed point theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">659</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ABDELGHANI OUAHAB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME PEROV’S AND KRASNOSEL’SKII TYPE FIXED POINT RESULTS AND APPLICATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we establish a single and multivalued version of a Perov type fixed point theorem. Also in generalized Banach spaces, we extend the Krasnosel’skii type fixed point theorem for the sum of B +A, where B is an expansive operator and A is a continuous map. Finally, our results are used to prove the existence of solutions for impulsive differential inclusions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">623</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IHOR L. IVANOV</style></author><author><style face="normal" font="default" size="100%">ANATOLIY A. MARTYNYUK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY RESULTS FOR DELAY POWER SYSTEM UNDER IMPULSIVE PERTURBATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;An impulsive delay model for electric power system with control has been proposed. For the proposed model sufficient conditions of asymptotic stability has been established via direct Lyapunov method using discontinuous unbounded Lyapunov function.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">275</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author><author><style face="normal" font="default" size="100%">MIN WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">TWO NONTRIVIAL SOLUTIONS FOR A DISCRETE FOURTH ORDER PERIODIC BOUNDARY VALUE PROBLEM</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">58E3</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study the discrete fourth order periodic boundary value problem with a parameter $${ \left\{ \begin{array}{1}∆^4u(t − 2) − ∆ \left(p(t − 1)∆_u(t − 1)\right)&amp;nbsp;+ q(t)u(t) = λf(t, u(t)), \ t ∈ [1, N]_Z,\\&amp;nbsp;∆^iu(−1) = ∆^iu(N − 1), \ \&amp;nbsp; &amp;nbsp;i = 0, 1, 2, 3.\end{array}\right. }$$ By using variational methods and the mountain pass lemma, sufficient conditions are found under which the above problem has at least two nontrivial solutions. One example is included to illustrate the result.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">487</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANDREW CONNER</style></author><author><style face="normal" font="default" size="100%">MIN WANG</style></author><author><style face="normal" font="default" size="100%">CLAIRE ZAJACZKOWSKI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UNIQUENESS AND PARAMETER DEPENDENCE OF POSITIVE SOLUTIONS OF DISCRETE PERIODIC BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The authors study a type of second order nonlinear discrete periodic boundary value problems. The existence and uniqueness of positive solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">163</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JIA BAOGUO</style></author><author><style face="normal" font="default" size="100%">LYNN ERBE</style></author><author><style face="normal" font="default" size="100%">ALLAN PETERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF SUBLINEAR DYNAMIC EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">194</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we study the asymptotic behavior of the following n-th order sublinear dynamic equation&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;31&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;250&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;where p(t) ≥ 0 on an isolated time scale &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAARCAIAAACNaGH2AAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA90lEQVQokc2SPYqFQAzH89aPRhhk7FSws7ESD6AgXsF6Wq9iY2kneAlPYWdvIxbaiYWKaF4xsvt2eYUsLGyaZJJfhn9m8kBEuG0f91EAELlb17VpmuM43kK2bVNKAQAQERGLotA0DQCiKFIUJUkSSmkQBIqiqKrKGOPYRed5DgB1XSOiZVnzPDuO03Vd3/eGYcRxzLFLtyAIjDHP835o0HU9TVNZlq8zb5qmaRgGHr/ejYjbtvEAEa8pCSGEkLcjyrJsmuZvXvBf0+d5SpIkiuK+76/5LMu+0XVdu647jqPv+23bhmFYluVndVmWx1/t4NfP37Gqqp43yYWEC1xovAAAAABJRU5ErkJggg==&quot; /&gt; and α is a ratio of odd positive integers. As an application, we obtain&lt;br /&gt;
(i) when n is even, every solution x(k) of the difference equation&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;27&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;233&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;where p(k) ≥ 0, is oscillatory if and only if&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;65&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;173&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;(ii) when n is odd, every solution x(k) of the difference equation is either oscillatory or lim&lt;sub&gt;k→∞&lt;/sub&gt;x(k) = 0 if and only if the above sum diverges.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">183</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARTIN BURNS</style></author><author><style face="normal" font="default" size="100%">MICHAEL GRINFELD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON A BISTABLE QUASILINEAR PARABOLIC EQUATION: WELL-POSEDNESS AND STATIONARY SOLUTIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">WELL-POSEDNESS AND STATIONARY SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B32</style></keyword><keyword><style  face="normal" font="default" size="100%">35D30</style></keyword><keyword><style  face="normal" font="default" size="100%">35J62</style></keyword><keyword><style  face="normal" font="default" size="100%">35K59</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">264</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be discontinuous.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">251</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZUZANA DOSLA</style></author><author><style face="normal" font="default" size="100%">MAURO MARINI</style></author><author><style face="normal" font="default" size="100%">SERENA MATUCCI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A BOUNDARY VALUE PROBLEM ON A HALF-LINE FOR DIFFERENTIAL EQUATIONS WITH INDEFINITE WEIGHT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A BOUNDARY VALUE PROBLEM ON A HALF-LINE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword><keyword><style  face="normal" font="default" size="100%">34C11.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">352</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;he boundary value problem on the half-line for the second order differential equation with general Φ-Laplacian&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;57&quot; 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&quot; width=&quot;362&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;is considered, where a, b are continuous functions on [0, ∞), a is positive and b can change its sign. The cases of regular variation, slow variation, and rapid variation of the inverse function Φ&lt;sup&gt;∗&lt;/sup&gt; of Φ are considered. Some applications of the main results complete the paper.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">341</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. APPELL</style></author><author><style face="normal" font="default" size="100%">N. GUANDA</style></author><author><style face="normal" font="default" size="100%">N. MERENTES</style></author><author><style face="normal" font="default" size="100%">J. L. SANCHEZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDEDNESS AND CONTINUITY PROPERTIES OF NONLINEAR COMPOSITION OPERATORS: A SURVEY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NONLINEAR COMPOSITION OPERATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A15</style></keyword><keyword><style  face="normal" font="default" size="100%">26A16</style></keyword><keyword><style  face="normal" font="default" size="100%">26A45</style></keyword><keyword><style  face="normal" font="default" size="100%">26A46.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">182</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we give an overview of mapping, continuity and boundedness properties of nonlinear composition operators of type Hf (t) := h(f (t)) or Hf (t) := h(t, f (t)) in the function spaces C([a, b]), C&lt;sup&gt;1&lt;/sup&gt; ([a, b]), Lip&lt;sub&gt;α&lt;/sub&gt; ([a, b]), AC([a, b]), BV ([a, b]), W BV&lt;sub&gt;p&lt;/sub&gt; ([a, b]), and RBV&lt;sub&gt;p&lt;/sub&gt; ([a, b]).&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">153</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALESSANDRO CALAMAI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BRANCHES OF HARMONIC SOLUTIONS FOR A CLASS OF PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">BRANCHES OF HARMONIC SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A09</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">34C40.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">282</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We study a class of T -periodic parametrized differential-algebraic equations, which are equivalent to suitable ordinary differential equations on manifolds. By combining a recent result on the degree of tangent vector fields, due to Spadini, with an argument on periodic solutions of ODEs on manifolds, we get a global continuation result for T -periodic solutions of our equations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">273</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">WENYING FENG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CLASS OF MAPS RELATED TO THE SEMILINEAR SPECTRUM AND APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SEMILINEAR SPECTRUM AND APPLICATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39B22.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">380</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the notion of (a, q)-L-stably solvable maps, where L is a closed Fredholm operator of index zero, is introduced. Closely related to the spectrum of semilinear operators, the class of (a, q)-L-stably solvable maps generalizes both (a, q)-stably solvable and the L-stably solvable maps that were defined previously. We prove properties for the new class of operators including the continuation principle and discuss eigenvalues. We also show its applications in the study of solvability of a nonlinear system.&lt;/div&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">372</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. E. EDMUNDS</style></author><author><style face="normal" font="default" size="100%">W. D. EVANS</style></author><author><style face="normal" font="default" size="100%">D. J. HARRIS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPACT LINEAR OPERATORS VIA NONLINEAR ANALYSIS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">COMPACT LINEAR OPERATORS VIA NONLINEAR ANALYSIS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35P30.</style></keyword><keyword><style  face="normal" font="default" size="100%">47A75</style></keyword><keyword><style  face="normal" font="default" size="100%">47B06</style></keyword><keyword><style  face="normal" font="default" size="100%">47B40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">362</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Recent work concerning the representation of compact linear operators acting between Banach spaces is discussed. The abstract results are applied to establish the existence of an infinite sequence of certain types of eigenfunctions and associated eigenvalues of the Dirichlet problem for the p−Laplacian; comparison is made with the corresponding quantities obtained by the Lusternik-Schnirelmann procedure.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HALIS YILMAZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DIFFERENTIAL INVARIANTS FOR HYPERBOLIC SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL INVARIANTS FOR HYPERBOLIC SYSTEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37K35.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">372</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We show that Z&lt;sup&gt;3&lt;/sup&gt; × R&lt;sup&gt;4&lt;/sup&gt; Toda Lattice Equations can be obtained from the Laplace-Darboux transformations of invariants for a four-dimensional hyperbolic system. We also present the relationship between the invariants of L and the invariants of M when [L, M] = 0, where L and M are n × n operator matrices.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">363</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">WILSON LAMB</style></author><author><style face="normal" font="default" size="100%">ADAM  MCBRIDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A DISTRIBUTIONAL APPROACH TO FRAGMENTATION EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45K05</style></keyword><keyword><style  face="normal" font="default" size="100%">46F05</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider a linear integro-differential equation that models multiple fragmentation with inherent mass-loss. A systematic procedure is presented for constructing a space of generalised functions Z′ in which initial-value problems involving singular initial conditions such as the Dirac delta distribution can be analysed. The procedure makes use of results on sun dual semigroups and quasi-equicontinuous semigroups on locally convex spaces. The existence and uniqueness of a distributional solution to an abstract version of the initial-value problem are established for any given initial data &lt;em&gt;u&lt;sub&gt;0&lt;/sub&gt;&lt;/em&gt; in Z′ .&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">511</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FELIZ MINHÓS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF EXTREMAL SOLUTIONS FOR SOME FOURTH ORDER FUNCTIONAL BVPS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34K10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this work we present sufficient conditions for the existence of extremal solutions for the fourth order functional problem composed by the equation&amp;nbsp;&lt;/p&gt;

&lt;p&gt;− &lt;em&gt;(${\phi}$(u′′′(x) ))′= f (x, u′′(x), u′′′(x), u,u′,u′′ ) ,&lt;/em&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;for&lt;em&gt; a.a.x&lt;/em&gt; ∈ [0, 1] , where &lt;em&gt;${\phi}$&lt;/em&gt; is an increasing homeomorphism, ${\text { I }}$:= [0, 1], and ${\ f:I }$ ${\times }$ ${\mathbb{R}^2}$&amp;nbsp;${\times }$ ${\ ( \ C\ ( I\ ) )^3 \to&amp;nbsp;\mathbb{R} }$ is a L&lt;sup&gt;1&lt;/sup&gt; -Carathéodory function, and the boundary conditions&lt;/p&gt;

&lt;p&gt;&lt;em&gt;0 = L&lt;sub&gt;1&amp;nbsp;&lt;/sub&gt;( u(a), u,u′,u′′ )&lt;/em&gt;&lt;/p&gt;

&lt;p&gt;&lt;em&gt;0 = L&lt;sub&gt;2&lt;/sub&gt; ( u′(a), u,u′,u′′ ) &lt;/em&gt;&lt;/p&gt;

&lt;p&gt;&lt;em&gt;0 = L&lt;sub&gt;3&lt;/sub&gt; ( u′′(a), u′′(b), u′′′(a), u′′′(b), u,u′,u′′ )&lt;/em&gt;&lt;/p&gt;

&lt;p&gt;&lt;em&gt;0 = L&lt;sub&gt;4&lt;/sub&gt; ( u′′(a), u′′(b) )&lt;/em&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;where &lt;em&gt;L&lt;sub&gt;i&lt;/sub&gt;&lt;/em&gt; , i = 1, 2, 3, 4, are suitable functions with&lt;em&gt; L&lt;sub&gt;1&lt;/sub&gt;&lt;/em&gt; and &lt;em&gt;L&lt;sub&gt;2&lt;/sub&gt; &lt;/em&gt;not necessarily continuous, satisfying some monotonicity assumptions. The arguments make use of lower and upper solutions technique, a version of Bolzano’s theorem and existence of extremal fixed points for a suitable mapping.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">547</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RUYUN MA</style></author><author><style face="normal" font="default" size="100%">CHENGKUI ZHONG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF POSITIVE SOLUTIONS FOR INTEGRAL EQUATIONS WITH VANISHING KERNELS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study the existence of positive solutions of integral equations in&lt;em&gt; C&amp;nbsp;&lt;/em&gt;[0, 1] where the kernel is supposed to be non-negative on [0,1] × [0,1] but may vanish at the interior points which prevent us of some standard cones. We prove existence of one or two positive solutions under some sharp conditions, and we do not need any convexity assumptions on the nonlinearities. The proof of the main results is based upon bifurcation techniques.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">529</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KYRIAKOS  MAVRIDIS</style></author><author><style face="normal" font="default" size="100%">PANAGIOTIS  TSAMATOS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF POSITIVE SOLUTIONS OF A TERMINAL VALUE PROBLEM FOR SECOND ORDER DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we use the well–known Guo–Krasnoselskii fixed point theorem to establish conditions which guarantee the existence of at least one positive solution for a terminal value problem concerning a second order differential equation&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">539</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHN V. BAXLEY</style></author><author><style face="normal" font="default" size="100%">GREY M. BALLARD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF SOLUTIONS FOR A CLASS OF SINGULAR NONLINEAR THIRD ORDER AUTONOMOUS BOUNDARY VALUE PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SINGULAR NONLINEAR THIRD ORDER BVPS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B15.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">202</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Motivated by a problem which arises in the analysis of stagnation point flow toward a stretching sheet, we consider a general class of problems of the form y′′′ = f (y, y′, y′′), y(0) = a, y′(0) = m, lim&lt;sub&gt;t→∞&lt;/sub&gt;y ′ (t) = b. We give conditions on f which imply existence of at least one solution and obtain a partial uniqueness result.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">195</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">SOTIRIS K. NTOUYAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH FOUR-POINT BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FOUR-POINT FRACTIONAL BOUNDARY VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33; 34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">152</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper investigates the existence of solutions for a boundary value problem of fractional differential inclusions of order q ∈ (1, 2] with four-point nonlocal boundary conditions involving convex and non-convex multivalued maps. The main tools of our study are the nonlinear alternative of Leray Schauder type and some suitable fixed point theorems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">141</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXTREMAL SOLUTIONS AND CONTINUOUS DEPENDENCE FOR SET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS WITH MEMORY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">124</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we proceed to present results pertaining to extremal solutions and continuous dependence of solutions with respect to initial values and a parameter for set differential equations involving causal operators with memory.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">113</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">F. SADYRBAEV</style></author><author><style face="normal" font="default" size="100%">N. SERGEJEVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON A FUCIK TYPE SPECTRAL PROBLEM FOR THE SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH THE INTEGRAL BOUNDARY CONDITION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this article we consider the equation ${\ x''&amp;nbsp;= &amp;nbsp;-\mu f(x^+)+\lambda g(x^-) }$, where ${\ x^+&amp;nbsp;= &amp;nbsp;\text{max}\{\ x,0 \}\ , x^-=\text{max}\{ \ -x,0\}&amp;nbsp;}$&amp;nbsp; together with the boundary conditions ${\ x(0)=0, x(b)=\gamma \int_0^b x(s)\, ds }$. We give description of a set of &lt;em&gt;(µ, λ)&lt;/em&gt; such that the problem has a nontrivial solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">557</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">WENMING BIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED GAP METRICS AND ROBUST STABILITY OF NONLINEAR SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GAP METRICS AND ROBUST STABILITY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">93C10.</style></keyword><keyword><style  face="normal" font="default" size="100%">93D09</style></keyword><keyword><style  face="normal" font="default" size="100%">93D25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">234</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;A gap metric of Georgiou and Smith (IEEE Trans. Auto. Control, 42(9):1200–1229, 1997), which does not need causal and surjective mapping between graphs to define, is studied and generalized based on the notion of biased norm, the corresponding robust stability theorem is presented in the notion of stability with bias terms. The obtained results are then applied to studied the stability of linear system realizations, semilinear systems with bounded nonlinearities and a nonlinear system with time delay in the inputs.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">217</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LIANCHENG WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL MATHEMATICAL ANALYSIS OF AN HIV-1 INFECTION MODEL WITH HOLLING TYPE-II INCIDENCE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GLOBAL ANALYSIS OF AN HIV MODEL</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34D23</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">56</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we study an HIV-1 infection mathematical model with Holling typeII incidence. Both local and global mathematical analysis is carried out. By identifying a basic reproduction number R 0 , we show that if R&lt;sub&gt;0&lt;/sub&gt; ≤ 1, the uninfected steady state P&lt;sub&gt;0&lt;/sub&gt; is the only equilibrium in the feasible region, and P&lt;sub&gt;0&lt;/sub&gt; is globally asymptotically stable. Therefore, no HIV-1 infection persists and infected T cells and HIV-1 virus are cleared over time. However, if R&lt;sub&gt;0&lt;/sub&gt; &amp;gt; 1, a unique infected steady state P&lt;sup&gt;∗&lt;/sup&gt; emerges in the interior of the feasible region and P&lt;sub&gt;0&lt;/sub&gt; becomes unstable. We show that the system is uniformly persistent and the unique infected steady state P&lt;sup&gt;∗&lt;/sup&gt; is globally asymptotically stable in the interior of the feasible region. Therefore, HIV-1 infection persists and the concentrations of the healthy cells, infected cells, and HIV-1 virus will settle at the level of P&lt;sup&gt;∗&lt;/sup&gt;.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">47</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author><author><style face="normal" font="default" size="100%">QINGKAI KONG</style></author><author><style face="normal" font="default" size="100%">BO YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HIGHER ORDER BOUNDARY VALUE PROBLEMS WITH TWO POINT SEPARATED NONHOMOGENEOUS BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The authors study the 2n-th order nonlinear boundary value problems with two point separated nonhomogeneous boundary conditions u (2n) = g(t)f(t, u), t ∈ (0, 1),    αu(2i) (0) − βu(2i+1)(0) = (−1)iλ2i , γu(2i) (1) + δu(2i+1)(1) = (−1)iλ2i+1. i = 0, . . . , n − 1, Criteria are established for the existence of nontrivial solutions, positive solutions, and negative solutions of the above problem. Conditions are determined by the relationship between the behavior of the quotient f(t, x)/x for x near 0 and ∞, and the smallest positive characteristic values of some associated linear integral operator. This work improves and extends a number of recent results in the literature on this topic. The results are illustrated with examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">435</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. STUART</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LOCATING CERAMI SEQUENCES IN A MOUNTAIN PASS GEOMETRY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46T05</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let X be a real Banach space and ${\Phi \in \ C^1 \ ( X, R \ )}$&amp;nbsp; a function with a mountain pass geometry. This ensures the existence of a Palais-Smale, and even a Cerami, sequence ${\ u_n}$ of approximate critical points for the mountain pass level. We obtain information about the location of such a sequence by estimating the distance of ${\ u_n}$ from ${\ S}$ for certain types of set ${\ S}$ as ${\ n \to \infty}$. Under our hypotheses we can find a Palais-Smale sequence for the mountain pass level with ${\ d\ (u_n,S \ ) \to \ 0 }$&amp;nbsp;, but in general there is no Cerami sequence with this property and our result yields ${\ d\ (u_n,S \ ) / \ (1+\|u_n\| \ ) \to 0&amp;nbsp;}$. Our results extend to Cerami sequences the earlier work on localization of Palais-Smale sequences due to Kuzin-Pohozaev and Ghoussoub-Preiss.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">569</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. STUART</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LOCATING CERAMI SEQUENCES IN A MOUNTAIN PASS GEOMETRY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46T05</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let X be a real Banach space and &lt;em&gt;Φ &lt;/em&gt;∈ C&lt;sup&gt;1&lt;/sup&gt; (X, R) a function with a mountain pass geometry. This ensures the existence of a Palais-Smale, and even a Cerami, sequence {u&lt;sub&gt;n&lt;/sub&gt;} of approximate critical points for the mountain pass level. We obtain information about the location of such a sequence by estimating the distance of u&lt;sub&gt;n&lt;/sub&gt; from S for certain types of set S as n→&amp;nbsp;∞. Under our hypotheses we can find a Palais-Smale sequence for the mountain pass level with d(u&lt;sub&gt;n&lt;/sub&gt;, S)→ 0, but in general there is no Cerami sequence with this property and our result yields d(u&lt;sub&gt;n&lt;/sub&gt;, S)&amp;nbsp;/ (1 + ||u&lt;sub&gt;n&lt;/sub&gt;||) →&amp;nbsp;0. Our results extend to Cerami sequences the earlier work on localization of Palais-Smale sequences due to Kuzin-Pohozaev and Ghoussoub-Preiss.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">569</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LUIGI DE PASCALE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE MONGE PROBLEM IN R d : VARIATIONS ON A THEME II</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MONGE’S PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J4</style></keyword><keyword><style  face="normal" font="default" size="100%">49K30</style></keyword><keyword><style  face="normal" font="default" size="100%">49Q20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">340</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In some recent papers [11, 12] it is proved that, under natural assumptions on the first marginal, the Monge problem in the metric space R&lt;sup&gt;d&lt;/sup&gt; equipped with a general norm admits a solution. Although the basic idea of the solution is simple the proof involves some very complex technical results. Here we will report a proof of the result in the simpler case of uniformly convex norms. Uniform convexity allow us to reduce the technical burdens while still giving the main ideas of the general proof. The proof of the density of the transport set given in this paper is original.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">325</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D.B.DHAIGUDE</style></author><author><style face="normal" font="default" size="100%">B.R.SONTAKKE</style></author><author><style face="normal" font="default" size="100%">CHANDRADEEPA D.DHAIGUDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE TECHNIQUE FOR NONLINEAR DEGENERATE WEAKLY COUPLED SYSTEM OF PARABOLIC PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MONOTONE TECHNIQUE FOR REACTION-DIFFUSION PROBLEMS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The purpose of this paper is to develop monotone technique by introducing the notion of upper and lower solutions together with the associated monotone iterations for nonlinear weakly coupled time degenerate parabolic system with initial and boundary conditions. Under suitable initial iterations and for mixed quasimonotone boundary functions, two monotone sequences are constructed. It is shown that these two sequences converge monotonically from above and below respectively to maximal and minimal solutions of Dirichlet initial boundary value problem for nonlinear weakly coupled time degenerate parabolic system which leads to existence-comparison and uniqueness results for the solution of the Dirichlet initial boundary value problem for nonlinear weakly coupled time degenerate parabolic system.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">13</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAFFAELE CHIAPPINELLI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NEW THEME IN NONLINEAR ANALYSIS: CONTINUATION AND BIFURCATION OF THE UNIT EIGENVECTORS OF A PERTURBED LINEAR OPERATOR</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">CONTINUATION AND BIFURCATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47A55</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</style></keyword><keyword><style  face="normal" font="default" size="100%">47J15</style></keyword><keyword><style  face="normal" font="default" size="100%">47J30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">312</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We review some recent results concerning nonlinear eigenvalue problems of the form (∗) Au + eB(u) = δu, where A is a linear Fredholm operator of index zero (with nontrivial kernel Ker A) acting in a real Banach space X, and B : X → X is a (possibly) nonlinear perturbation term. We seek solutions u of (∗) in the unit sphere S of X, and the emphasis is put on the existence - under appropriate conditions on B - of points u 0 ∈ S ∩ Ker A (thus satisfying (∗) for e = δ = 0) which either can be continued as solutions of (∗) for e = 0 or - more generally - are bifurcation points for solutions of that kind.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">299</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">QINGKAI KONG</style></author><author><style face="normal" font="default" size="100%">XIAOFEI WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONLINEAR BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NONLINEAR BVPS WITH P-LAPLACIAN</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">46</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We study the second order nonlinear boundary value problem with p-Laplacian consisting of the equation −[φ(y ′ )] ′ + q(t)φ(y) = w(t)f (y) with φ(y) = |y|&lt;sup&gt;p−1&lt;/sup&gt;y for p &amp;gt; 0 on [a, b] and a general separated boundary condition. By comparing it with a half-linear Sturm-Liouville problem we obtain conditions for the existence and nonexistence of nodal solutions of this problem. More specifically, let λ&lt;sub&gt;n&lt;/sub&gt; , n = 0, 1, 2, . . . , be the n-th eigenvalue of the corresponding half-linear Sturm-Liouville problem. Then the boundary value problem has a pair of solutions with exactly n zeros in (a, b) if λ n is in the interior of the range of f (y)/φ(y); and does not have any solution with exactly n zeros in (a, b) if λ&lt;sub&gt;n&lt;/sub&gt; is outside the range. These conditions become necessary and sufficient when f (y)/φ(y) is monotone on (−∞, 0) and on (0, ∞). We also study the changes of the number of different types of nodal solutions as the equation or the boundary condition changes. Our results are obtained based on the global existence and uniqueness of solutions of the corresponding initial value problems established earlier by the authors.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">25</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCOIS GENOUD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONLINEAR SCHR ODINGER EQUATIONS ON R : GLOBAL BIFURCATION, ORBITAL STABILITY AND NONLINEAR WAVEGUIDES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">BIFURCATION AND STABILITY FOR NLS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B32</style></keyword><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q55</style></keyword><keyword><style  face="normal" font="default" size="100%">37C75</style></keyword><keyword><style  face="normal" font="default" size="100%">58J55.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">412</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Global bifurcation and stability results are surveyed for standing waves of one-dimensional nonlinear Schrodinger equations in inhomogeneous media. A new bifurcation result for the asymptotically linear case is presented and applications to nonlinear waveguides are discussed.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">395</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OPTIMAL INTERVAL LENGTHS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR SECOND ORDER LIPSCHITZ EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;For the second order differential equation, y′′= f (t, y, y′ ), where f (t, r&lt;sub&gt;1&lt;/sub&gt;, r&lt;sub&gt;2&lt;/sub&gt; ) is Lipschitz continuous in terms of r&lt;sub&gt;1 &lt;/sub&gt;and r&lt;sub&gt;2&lt;/sub&gt;, we obtain optimal bounds on the length of intervals on which there exist unique solutions of certain nonlocal three point boundary value problems. These bounds are obtained through an application of the Pontryagin Maximum Principle from the theory of optimal control.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">457</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HAIM BREZIS</style></author><author><style face="normal" font="default" size="100%">JEAN MAWHIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS OF RELATIVISTIC OSCILLATORS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF LAGRANGIAN SYSTEMS OF RELATIVISTIC OSCILLATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C25; 47H11; 49J40; 58E30; 58E35;78A35.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">250</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;T-periodic solutions of systems of differential equations of the form&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;35&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;204&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;where φ = ∇Φ, with Φ strictly convex, is a homeomorphism of the ball &lt;img alt=&quot;&quot; height=&quot;23&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;72&quot; /&gt; onto &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;, are considered under various conditions upon F and h. The approach is mostly variational, but requires the use of results on an auxiliary system based upon fixed point theory and Leray-Schauder degree.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">235</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author><author><style face="normal" font="default" size="100%">MARCO SPADINI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF RETARDED FUNCTIONAL PERTURBATIONS OF AUTONOMOUS DIFFERENTIAL EQUATIONS ON MANIFOLDS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF RETARDED FUNCTIONAL. . .</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">34K18.</style></keyword><keyword><style  face="normal" font="default" size="100%">58F32</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">394</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Inspired by [1] and [10] we apply the topological tools of fixed point index and of degree of a tangent vector field to the study of the set of harmonic solutions to periodic perturbations of autonomous ODEs on (smooth) boundaryless differentiable manifolds, allowing the perturbation to contain a distributed, possibly infinite, delay. In order to do so, we construct a Poincar ́e-type T-translation operator on an appropriate function space and, in the unperturbed case, prove a formula for its fixed point index in terms of the degree of the autonomous vector field.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">381</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MUHAMMAD N. ISLAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF VOLTERRA TYPE INTEGRAL EQUATIONS WITH FINITE DELAY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF INTEGRAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">68</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we study the existence of periodic solutions of Volterra type integral equations with finite delay. These equations often arise from delay differential equations. Banach fixed point theorem, Krasnosel’skii’s fixed point theorem, and a combination of Krasnosel’skii’s and Schaefer’s fixed point theorems are employed in the analysis. The combination theorem of Krasnosel’skii and Schaefer requires an a priori bound on all solutions. We employ Liapunov’s direct method to obtain such an a priori bound. In the process, we compare these theorems in terms of assumptions and outcomes.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">57</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. CABALLERO</style></author><author><style face="normal" font="default" size="100%">J. HARJANI</style></author><author><style face="normal" font="default" size="100%">K. SADARANGANI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE AND NONDECREASING SOLUTIONS TO A SINGULAR BOUNDARY VALUE PROBLEM FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SOLUTIONS TO A SINGULAR BOUNDARY VALUE PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45M99</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">272</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we establish the existence and uniqueness of a positive and nonde-creasing solution to a singular boundary value problem of a class of nonlinear fractional differential equations. Our analysis relies on a fixed point theorem in partially ordered sets.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">265</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. LAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;New results on existence of positive solutions in&lt;em&gt; L&lt;sup&gt;p&lt;/sup&gt;&lt;/em&gt; (Ω, R&lt;sup&gt;n&lt;/sup&gt;) of systems of Hammerstein integral equations are obtained by using Leray-Schauder fixed point theorem. The principal eigenvalues of the corresponding linear Hammerstein integral equations are employed. Our results improve some previous results on existence of (not necessarily positive) solutions in &lt;em&gt;L&lt;sup&gt;p&amp;nbsp;&lt;/sup&gt;&lt;/em&gt;(Ω) of a single Hammerstein integral equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">521</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DRUMI BAINOV</style></author><author><style face="normal" font="default" size="100%">SNEZHANA HRISTOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PRACTICAL STABILITY IN TERMS OF TWO MEASURES FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH “SUPREMUM”</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL EQUATIONS WITH “SUPREMUM”</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">88</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In the paper several types of practical stability for impulsive differential equations with “supremum” is introduced. The definitions are based on the application of two different measures for the initial condition and for the solution. This allow us to increase the possibility for applications of the stability. Some sufficient conditions for various types of practical stability in terms of two measures of nonlinear impulsive differential equations with “supremum” are obtained.&lt;br /&gt;
The proofs are based on the application of piecewise continuous Lyapunov functions and Razumikhin method. An example illustrates the practical application of the proved results.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">69</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Messoud A. Efendiev</style></author><author><style face="normal" font="default" size="100%">Gennaro Infante</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PROFESSOR JEFFREY R. L. WEBB</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PROFESSOR J. R. L. WEBB</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">x</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">i</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SHELL MIXED FRACTIONAL OSTROWSKI INEQUALITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SHELL MIXED FRACTIONAL OSTROWSKI INEQUALITIES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">112</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Very general shell mixed Caputo fractional Ostrowski inequalities are presented, radial and non-radial cases. One of them is proved to be sharp and attained. Estimates are with respect to ||·||&lt;sub&gt;p&lt;/sub&gt; , 1 ≤ p ≤ ∞.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">101</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">ZAHIRA SAHNOUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLVABILITY OF SOME OPERATOR EQUATIONS AND INCLUSIONS IN BANACH SPACES WITH THE WEAK TOPOLOGY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OPERATOR EQUATIONS AND INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">54C60.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">140</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The aim of this paper is to present some existence results regarding operator equation and operator inclusions in some Banach spaces endowed with the weak topology. The results complement those obtained in [19, 20, 21, 22]. The Schauder-Tychonov fixed point is used with the weak measure of noncompactness. Applications to Volterra integral equations and inclusions are also provided.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">125</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCOIS GENOUD</style></author><author><style face="normal" font="default" size="100%">BRYAN P. RYNNE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME RECENT RESULTS ON THE SPECTRUM OF MULTI-POINT EIGENVALUE PROBLEMS FOR THE p-LAPLACIAN</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34L05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J15</style></keyword><keyword><style  face="normal" font="default" size="100%">47N20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we describe some recent results regarding the spectral properties of &lt;em&gt;p&lt;/em&gt;-Laplacian problems subject to various forms of multi-point boundary conditions. In particular, we consider Dirichlet and Neumann-type boundary conditions, and mixtures of these conditions. We also consider certain types of nonlocal boundary conditions expressed in terms of Stieltjes integrals, which have been discussed recently and which generalize the previously considered multi-point conditions. It is shown that, under suitable assumptions, the structure of the spectrum and the properties of the eigenfunctions for these boundary value problems with nonlocal boundary conditions are very similar to those of the classical linear Sturm-Liouville problem with separated boundary conditions. Results on global bifurcation, non-resonance conditions and existence of nodal solutions for related nonlinear problems are also presented. In a final section we discuss the necessity of some of the hypotheses we impose, and outline some open problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">413</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ANNA CAPIETTO</style></author><author><style face="normal" font="default" size="100%">NICOLA SOAVE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME REMARKS ON MATHER’S THEOREM AND AUBRY-MATHER SETS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">REMARKS ON MATHER’S THEOREM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">58F27.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">298</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We illustrate Mather’s theorem and its applications to the classification of Aubry-Mather sets. We discuss the equivalence of various definitions of Aubry-Mather set available in the literature.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">283</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AHMED ALSAEDI</style></author><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY ANALYSIS IN TERMS OF TWO MEASURES FOR SETVALUED HYBRID INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SETVALUED HYBRID INTEGRO-DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K25</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We study some stability criteria in terms of two measures for setvalued perturbed hybrid integro-differential equations of mixed type with fixed moments of impulse. Stability properties of perturbed system are obtained via a comparison result which connects the solutions of perturbed system and the unperturbed one through the solutions of a comparison system.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARIANNE K. KORTEN</style></author><author><style face="normal" font="default" size="100%">CHARLES N. MOORE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UNIQUENESS FOR SOLUTIONS OF THE TWO PHASE STEFAN PROBLEM WITH SIGNED MEASURES AS DATA</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">UNIQUENESS FOR THE TWO PHASE STEFAN PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K55</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65</style></keyword><keyword><style  face="normal" font="default" size="100%">80A22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">100</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider the two-phase Stefan problem u t = ∆α(u) where α(u) = u + 1 for u &amp;lt; −1, α(u) = 0 for −1 ≤ u ≤ 1, and α(u) = u − 1 for u &amp;gt; 1. We show uniqueness of solutions which have signed measures as initial data, that is, we show that if the difference of two solutions u and v defined on R&lt;sup&gt;n&lt;/sup&gt; × (0, T ) vanishes in a weak sense as t → 0 then u = v a.e.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">89</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PIERLUIGI BENEVIERI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE UNIQUENESS OF THE DEGREE FOR NONLINEAR FREDHOLM MAPS OF INDEX ZERO BETWEEN BANACH MANIFOLDS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ON THE UNIQUENESS OF THE DEGREE...</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47A53</style></keyword><keyword><style  face="normal" font="default" size="100%">47H11</style></keyword><keyword><style  face="normal" font="default" size="100%">58Cxx.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">216</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In some previous papers we presented a fairly simple construction of a topological degree for C&lt;sup&gt;1&lt;/sup&gt; Fredholm maps of index zero between Banach manifolds which verifies the three fundamental properties of the classical degree theory: normalization, additivity and homotopy invariance. We show here that this degree is unique. Precisely, by an axiomatic approach similar to the one due to Amann-Weiss, we prove that there exists at most one real function satisfying the above properties, and this function must be integer valued.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">203</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">GEORGE  KARAKOSTAS</style></author><author><style face="normal" font="default" size="100%">KONSTANTINA G. PALASKA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">VARIATIONAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR MONOTONE DISCRETE INCLUSIONS IN HILBERT SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword><keyword><style  face="normal" font="default" size="100%">39B99</style></keyword><keyword><style  face="normal" font="default" size="100%">47H05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">28</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We use variational methods to investigate the existence and uniqueness of solutions of a two-point boundary value problem concerning a system of second order difference inclusions in a Hilbert space, when the operators involved are maximal monotone.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">483</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SUSANA GUTIÉRREZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">VORTEX FILAMENTS AND 1D CUBIC SCHRÖDINGER EQUATIONS: SINGULARITY FORMATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J10</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q35</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we will give an overview on some recent results and work in progress on self-similar solutions of the &lt;em&gt;Localized Induction Approximation &lt;/em&gt;(LIA) leading to a phenomenon of singularity formation in finite time. A special emphasis will be drawn to the connection of this geometrical flow with certain nonlinear cubic Schr¨odinger equations in one space dimension through the so-called Hasimoto transformation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">457</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">TED CLARKE</style></author><author><style face="normal" font="default" size="100%">GISELE RUIZ GOLDSTEIN</style></author><author><style face="normal" font="default" size="100%">JEROME A. GOLDSTEIN</style></author><author><style face="normal" font="default" size="100%">SILVIA ROMANELLI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE WENTZELL TELEGRAPH EQUATION: ASYMPTOTICS AND CONTINUOUS DEPENDENCE ON THE BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">THE WENTZELL TELEGRAPH EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B30.</style></keyword><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">324</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Solutions of the telegraph equation in many unbounded domains are shown to be asymptotically equal to solutions of the corresponding heat equation. This works for many boundary conditions, including general Wentzell boundary conditions. Continuous dependence on the boundary conditions is also shown.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">313</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. CHOWDHURY</style></author><author><style face="normal" font="default" size="100%">C. I. CHRISTOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE APPLICATION OF RANDOM-POINT APPROXIMATION FOR IDENTIFICATION OF THE EFFECTIVE DIFFUSIVITY COEFFICIENT OF POLYDISPERSE SPHERICAL SUSPENSION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">EFFECTIVE CONDUCTIVITY OF POLYDISPERSE SPHERICAL SUSPENSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60G55</style></keyword><keyword><style  face="normal" font="default" size="100%">74Q15</style></keyword><keyword><style  face="normal" font="default" size="100%">80A20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">372</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%"> &lt;p align=&quot;justify&quot;&gt;The so-called Random-Point Approximation (RPA) is applied to identifying the effective diffusivity of a polydisperse spherical suspension. The RPA is based on truncated Volterra-Wiener Expansion (VWE) with basis function which is a random point function of perfect-disorder type. The VWE is applied consistently, and the equations for the kernels are derived. The contributions of the different kernels to the overall (effective) modulus are identified. An approximate model based on power-series expansion of the kernels with respect to the volume fraction c is developed. It is argued that the contribution of the pure binary interaction (two-sphere solution) is negligible for moderately concentrated suspensions. The issues connected with the application of the fourth-order kernel (one-sphere solution) are tackled, by evaluating some new kind of integrals. &lt;/p&gt;</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">355</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VU VAN KHUONG</style></author><author><style face="normal" font="default" size="100%">TRAN HONG THAI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE ASYMPTOTICS OF THE DIFFERENCE EQUATION...</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ASYMPTOTICS OF DIFFERENCE EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">446</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The aim of this paper is to show the existence of a solution of the difference equation in the title converging to zero as n → ∞, and to determine its asymptotic behaviour.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">443</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARAT U. AKHMET</style></author><author><style face="normal" font="default" size="100%">MEHMET TURAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BIFURCATION IN A 3D HYBRID SYSTEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">BIFURCATION IN A 3D HYBRID SYSTEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34C23</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">37G15.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">324</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we study a 3 dimensional Hybrid system which involves a switching mechanism such that at the moment of switching the differential equation that governs the model is changing. We first show that there is a center manifold and based on the results in [2] we show that the system under investigation has a Hopf bifurcation. An appropriate example is constructed to illustrate the theory.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">311</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CLASS OF NONSTANDARD PARTIALLY OBSERVED STOCHASTIC SYSTEMS ON A HILBERT SPACE AND THEIR OPTIMAL STRUCTURAL FEEDBACK CONTROL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ATTAINABLE SET OF MEASURES AND STRUCTURAL FEEDBACK CONTROL</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46A50</style></keyword><keyword><style  face="normal" font="default" size="100%">46B50</style></keyword><keyword><style  face="normal" font="default" size="100%">46E27</style></keyword><keyword><style  face="normal" font="default" size="100%">46E99</style></keyword><keyword><style  face="normal" font="default" size="100%">47A55</style></keyword><keyword><style  face="normal" font="default" size="100%">49J27</style></keyword><keyword><style  face="normal" font="default" size="100%">93E03.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">240</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we consider the question of weak compactness of the set of attainable measures on a Hilbert space induced by a class of partially observed nonstandard stochastic systems. The system is perturbed not only by Brownian motion but also by an arbitrary second order random process taking values from a Hilbert space. Structural controls used are measures with values from the space of bounded linear operators, &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;(Y, X) where X, Y are the state and output spaces, respectively. We consider several control problems and prove existence of optimal policies.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">225</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HARE KRISHNA NIGAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON DEGREE OF APPROXIMATION OF A FUNCTION BELONGING TO Lip(ξ(t), r) CLASS BY (E, q)(C, 1) PRODUCT MEANS OF FOURIER SERIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ON DEGREE OF APPROXIMATION OF A FUNCTION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">42B05</style></keyword><keyword><style  face="normal" font="default" size="100%">42B08.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/13.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">614</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In present paper, a new theorem on degree of approximation of a function belonging to ${\ Lip\ (\xi\ (t)\ ,r \ ) }$&amp;nbsp;class by ${\ (E, q)(C, 1) }$&amp;nbsp; product summability means of Fourier series has been obtained.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">607</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. G. LADDE</style></author><author><style face="normal" font="default" size="100%">G. S. LADDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DETERMINANT FUNCTIONS AND APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DETERMINANT FUNCTIONS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">434</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;A few fundamental results regarding the of calculus of determinant functions of associated with n × n matrix functions are developed. Furthermore, stochastic versions of Liouville–Jacobi [8, 9, 11, 17], Abel-Liouville [1, 2, 17]. Lagrange formula [4, 8, 11, 15–17], Green’s formula [4, 8] and many fundamental results are established for the Ito-Doob type higher order and system of linear stochastic differential equations [6, 10, 12–14].&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">409</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T. K. KAR</style></author><author><style face="normal" font="default" size="100%">S. K. CHATTOPADHYAY</style></author><author><style face="normal" font="default" size="100%">R. P. AGARWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DYNAMICS OF AN EXPLOITED PREY-PREDATOR SYSTEM WITH NON-MONOTONIC FUNCTIONAL RESPONSE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DYNAMICS OF AN EXPLOITED PREY-PREDATOR SYSTEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C05</style></keyword><keyword><style  face="normal" font="default" size="100%">34D23</style></keyword><keyword><style  face="normal" font="default" size="100%">92D25.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">38</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;A prey-predator model with non-monotonic functional response and harvesting of either species is considered. The purpose of the work is to offer mathematical analysis of the model and to discuss some significant qualitative results. At the end, some numerical simulations are carried out.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">21</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. R. PRASAD</style></author><author><style face="normal" font="default" size="100%">K. L. SARASWATHI DEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EVEN NUMBER OF POSITIVE SOLUTIONS FOR 3n th ORDER THREE-POINT BOUNDARY VALUE PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">EVEN NUMBER OF POSITIVE SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B05</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">408</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We are concerned with the existence of even number of positive solutions for the 3n th order three-point boundary value problem&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;32&quot; 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&quot; width=&quot;420&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;satisfying the boundary conditions&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;82&quot; 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&quot; width=&quot;403&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;for 1 ≤ i ≤ n, where n ≥ 1, t 1 &amp;lt; t 2 &amp;lt; t 3 and &lt;img alt=&quot;&quot; height=&quot;22&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;82&quot; /&gt; is continuous. We establish the existence&lt;br /&gt;
of at least two and then 2m positive solutions for an arbitrary positive integer m, by using the Avery&lt;br /&gt;
and Henderson functional fixed point theorem.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">393</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">SNEZHANA HRISTOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EVENTUAL PRACTICAL STABILITY AND CONE VALUED LYAPUNOV FUNCTIONS FOR DIFFERENTIAL EQUATIONS WITH “MAXIMA”</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL EQUATIONS WITH “MAXIMA”</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">524</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;A special type of practical stability for differential equations with “maxima” is introduced. The definitions incorporate two different measures and a scalar product on a cone. The application of a dot product allows us to use scalar comparison of ordinary differential equations for investigation of stability properties of the solutions. At the same time, the fixed vector, involved in the definition, plays a role of a weight of the components of the solution. Some sufficient conditions for eventual d-practical stability in terms of two measures of nonlinear differential equations with “maxima” are obtained. The proofs are based on the Razumikhin method and cone valued Lyapunov functions. An example illustrates the practical application of the proven results and the advantage of the introduced type of stability.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">515</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JUN JI</style></author><author><style face="normal" font="default" size="100%">BO YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE, NONEXISTENCE, AND UNIQUENESS FOR POSITIVE SOLUTIONS TO A THIRD ORDER BOUNDARY VALUE PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">THIRD ORDER BVP</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">250</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider a third order two point boundary value problem. Some new a priori estimates to positive solutions for the problem are obtained. Sufficient conditions for the existence, nonexistence, and uniqueness of positive solutions for the boundary value problem are established.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">241</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JEHAD O. ALZABUT</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF LINEAR DELAY DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">LINEAR DELAY DIFFERENCE EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A11.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">202</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;A necessary and sufficient condition is established for the existence of periodic solutions for a class of linear delay difference equations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">191</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. ANGURAJ</style></author><author><style face="normal" font="default" size="100%">P. KARTHIKEYAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF SOLUTIONS FOR FRACTIONAL SEMILIEAR EVOLUTION BOUNDARY VALUE PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL SEMILINEAR EVOLUTION BVP</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">514</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we prove the existence of solutions for fractional evolution equations with boundary conditions in Banach spaces. The results are obtained by using fractional calculus and the fixed point theorems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">505</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">G. V. S. R. DEEKSHITULU</style></author><author><style face="normal" font="default" size="100%">J. JAGAN MOHAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENCE INEQUALITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENCE INEQUALITIES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">98</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The basic inequalities for fractional difference equations have been obtained using a modified definition of the fractional difference operator [1].&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">89</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">G. V. S. R. DEEKSHITULU</style></author><author><style face="normal" font="default" size="100%">J. JAGAN MOHAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENCE INEQUALITIES OF BIHARI TYPE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENCE INEQUALITIES OF BIHARI TYPE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">354</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, using the properties of ∇&lt;sup&gt;−α&lt;/sup&gt; , some discrete fractional inequalities of Bihari-type are established.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">343</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Z. DRICI</style></author><author><style face="normal" font="default" size="100%">F. A. MCRAE</style></author><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34GXX</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">88</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we develop some existence results for fractional equations involving causal operators.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">81</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL TRIGONOMETRIC KOROVKIN THEORY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL TRIGONOMETRIC KOROVKIN THEORY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">41A17</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">41A80.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">58</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this article we study quantitatively with rates the trigonometric weak convergence of a sequence of finite positive measures to the unit measure. Equivalently we study quantitatively the trigonometric pointwise convergence of sequence of positive linear operators to the unit operator, all acting on continuous functions on [−π, π]. From there we derive with rates the corresponding trigonometric uniform convergence of the last. Our inequalities for all of the above in their right hand sides contain the moduli of continuity of the right and left Caputo fractional derivatives of the involved function. From our uniform trigonometric Shisha-Mond type inequality we derive the first trigonometric fractional Korovkin type theorem regarding the trigonometric uniform convergence of positive linear operators to the unit. We give applications, especially to Bernstein polynomials over [−π, π] for which we establish fractional trigonometric quantitative results.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">39</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. K. SUNANDA</style></author><author><style face="normal" font="default" size="100%">C. NAHAK</style></author><author><style face="normal" font="default" size="100%">S. NANDA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED HARDY-HILBERT’S INEQUALITY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GEN. HARDY-HILBERT INEQU.</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">490</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we have studied some extensions of Hardy-Hilbert’s inequality with an improved weight coefficient. We have also established reverse inequalities of Hardy-Hilbert type inequalities.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">481</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IANNA H WEST</style></author><author><style face="normal" font="default" size="100%">A.S. VATSALA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GENERALIZED MONOTONE ITERATIVE TECHNIQUE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60.</style></keyword><keyword><style  face="normal" font="default" size="100%">93C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">310</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Systems of differential equations with impulses can occur in the mathematical modeling of science and engineering. Using upper and lower solutions, we will develop the generalized monotone iterative method for impulsive differential systems where the forcing functions are sums of nondecreasing and nonincreasing functions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">301</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">G. S. LADDE</style></author><author><style face="normal" font="default" size="100%">M. SAMBANDHAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED VARIATIONAL COMPARISON THEOREMS AND NONLINEAR ITERATIVE PROCESS UNDER RANDOM PARAMETRIC PERTURBATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GENERALIZED VARIATION COMPARISON THEOREMS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">300</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this article we develop basic mathematical tool to study the discrete time stochastic processes. Using these tools we develop comparison results, stability properties and error estimates.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">273</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VU VAN KHUONG</style></author><author><style face="normal" font="default" size="100%">MAI NAM PHONG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE GLOBAL ASYMPTOTIC STABILITY OF THE DIFFERENCE EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ON THE GLOBAL ASYMPTOTIC STABILITY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">606</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We investigate the dynamical behavior of the following fourth-order rational differ-&lt;br /&gt;
ence equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;44&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;315&quot; /&gt;&lt;/p&gt;

&lt;p&gt;where a ∈ [0, ∞) and the initial values x&lt;sub&gt;−3&lt;/sub&gt; , x&lt;sub&gt;−2&lt;/sub&gt; , x&lt;sub&gt;−1&lt;/sub&gt; , x&lt;sub&gt;0&lt;/sub&gt; ∈ (0, ∞). We find that the successive lengths&lt;br /&gt;
of positive and negative semicycles of nontrivial solutions of the above equation occur periodically.&lt;br /&gt;
We also show that the positive equilibrium of the equation is globally asymptotically stable.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">597</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">FARIDA BERHOUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33 - 26A42 - 34A37.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">224</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We provide in this paper, sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations with state-dependent delay involving the Caputo fractional derivative.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">213</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. C. OLIVEIRA</style></author><author><style face="normal" font="default" size="100%">J. M. PEREIRA</style></author><author><style face="normal" font="default" size="100%">G. PERLA MENZALA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LARGE TIME BEHAVIOR OF MULTIDIMENSIONAL NONLINEAR LATTICES WITH NONLINEAR DAMPING</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">LARGE TIME BEHAVIOR OF MULTIDIMENSIONAL</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D05</style></keyword><keyword><style  face="normal" font="default" size="100%">34D45</style></keyword><keyword><style  face="normal" font="default" size="100%">58F39.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">176</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we study the asymptotic behavior of solutions of multidimensional nonlinear lattices subject to cyclic boundary conditions under the effect of a nonlinear dissipation. We establish the existence of a global attractor.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">155</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author><author><style face="normal" font="default" size="100%">CH. V. SREEDHAR</style></author><author><style face="normal" font="default" size="100%">S. NAGAMANI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE ITERATIVE TECHNIQUE FOR INTEGRO DIFFERENTIAL EQUATIONS WITH RETARDATION AND ANTICIPATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">M.I.T FOR INTEGRO D.E</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">336</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the monotone iterative technique is developed to study the existence of solutions of integro differential equations with retardation and anticipation.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">325</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">F. A. MCRAE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12.</style></keyword><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">80</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the monotone iterative technique is developed to study existence of solutions of PBVP for Fractional Differential Equation.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">73</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BOUMEDIENE CHENTOUF</style></author><author><style face="normal" font="default" size="100%">AISSA GUESMIA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NEUMANN-BOUNDARY STABILIZATION OF THE WAVE EQUATION WITH DAMPING CONTROL AND APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STABILIZATION OF THE WAVE EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35L05</style></keyword><keyword><style  face="normal" font="default" size="100%">93C20</style></keyword><keyword><style  face="normal" font="default" size="100%">93D15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D20.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">566</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This article is devoted to the boundary stabilization of a non-homogeneous n-dimensional wave equation subject to static or dynamic Neumann boundary conditions. Using a linear feedback law involving only a damping term, we provide a simple method and obtain an asymptotic convergence result for the solutions of the considered systems. The method consists in proposing a new energy norm. Then, a similar result is derived for the case of dynamic Neumann boundary conditions with nonlinear damping feedback laws. Finally, the method presented in this work is also applied to several distributed parameter systems such as the Petrovsky system, coupled wave-wave equations and elasticity systems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">541</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SEBTI KERBAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NON-EXISTENCE OF GLOBAL SOLUTIONS TO SYSTEMS OF NON-AUTONOMOUS NONLINEAR PARABOLIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NON-LOCAL PARABOLIC SYSTEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B33</style></keyword><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">212</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider the non-autonomous system of nonlinear parabolic equations&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;66&quot; 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width=&quot;136&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;posed in&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;21&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;117&quot; /&gt;, subject to the initial data (u(0, x) = u&lt;sub&gt;0&lt;/sub&gt;(x), v(0, x) = v&lt;sub&gt;0&lt;/sub&gt;(x)), where p &amp;gt; 1 and q &amp;gt; 1 are positive real numbers, α, β ∈[0, 2] and ∆γ := (−∆)&lt;sup&gt;γ/2&lt;/sup&gt; is the (−∆)&lt;sup&gt;γ/2&lt;/sup&gt; fractional power of −∆ in the x variable defined via the Fourier transform &lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;15&quot; /&gt; and its inverse &lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;30&quot; /&gt; by (−∆)&lt;sup&gt;γ/2&lt;/sup&gt;w(x, t) = &lt;img alt=&quot;&quot; height=&quot;21&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;32&quot; /&gt;(|ξ|&lt;sup&gt;γ&lt;/sup&gt;&lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;15&quot; /&gt;(w)(ξ)) (x, t), where r &amp;gt; −1 and s &amp;gt; −1.&lt;br /&gt;
The Fujita critical exponent which separates the case of blowing-up solutions from the case of globally in time existing solutions is determined.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">203</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SAID R. GRACE</style></author><author><style face="normal" font="default" size="100%">RAVI P. AGARWAL</style></author><author><style face="normal" font="default" size="100%">SANDRA PINELAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA FOR CERTAIN FOURTH ORDER NONLINEAR DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">342</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We shall establish some new criteria for the oscillation of the fourth order nonlinear difference equation&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;24&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;269&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;via comparison with some difference equations of less order whose oscillatory characters are known.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">337</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BIYING WANG</style></author><author><style face="normal" font="default" size="100%">ZHITING XU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF SECOND ORDER DELAY DYNAMIC EQUATIONS WITH OSCILLATORY COEFFICIENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DYNAMIC EQUATIONS WITH OSCILLATORY COEFFICIENTS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A13.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">1</style></volume><pages><style face="normal" font="default" size="100%">540</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we extend the oscillation criteria established by Fite, Kamenev, Hille and Nehari for second order linear differential equations to second order linear delay dynamic equations with oscillatory coefficients on time scales. Our results are essentially new even for second order differential equations and difference equations. Finally we consider several examples to illustrate our main theorems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">525</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAVI P. AGARWAL</style></author><author><style face="normal" font="default" size="100%">FATMA KARAKOC</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION THEORY FOR IMPULSIVE PARTIAL DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OSCILLATION THEORY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">72</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we consider impulsive partial difference equation with continuous variables of the form&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;122&quot; 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&quot; width=&quot;534&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;Sufficient conditions for all solutions of this equation to be oscillatory are established.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">59</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">I. O. ISAAC</style></author><author><style face="normal" font="default" size="100%">Z. LIPSCEY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATIONS IN LINEAR NEUTRAL DELAY IMPULSIVE DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DELAY IMPULSIVE DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword><keyword><style  face="normal" font="default" size="100%">99Z00. 34K11</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">136</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper presents the conditions for the oscillation of the solutions of the neutral delay impulsive differential equation&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;67&quot; 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&quot; width=&quot;341&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;for constant coefficients and delays. The relevance of the resulting theorems is manifested in many extensions, particularly in the investigation involving neutral impulsive differential equations with variable coefficients and delays.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">123</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC POINTS FOR COMPACT ABSORBING CONTRACTIONS IN EXTENSION TYPE SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MULTIPLICITY RESULTS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;Several new periodic point results are presented for self maps in extension type spaces. In particular we discuss compact absorbing contractions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SESHADEV PADHI</style></author><author><style face="normal" font="default" size="100%">SHILPEE SRIVASTAVA</style></author><author><style face="normal" font="default" size="100%">SMITA PATI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS FOR FIRST ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">462</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We establish conditions for the existence of at least two positive periodic solutions of the following functional differential equation of the form&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;32&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;210&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;Applications to some ecological models are given.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">447</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS FOR SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">154</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider classes of systems of first order functional differential equations. Criteria are established for the existence of positive T -periodic solutions of the systems under consideration. One example is also included to illustrate the applications of our results.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">137</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. BENMEZAI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR A SECOND ORDER TWO POINT BOUNDARY VALUE PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">TWO POINT BOUNDARY VALUE PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">190</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We employ fixed point index properties and quadrature technics to obtain existence and multiplicity results for positive solutions to a second order two point boundary value problem.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">177</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Ramkrishna B. Khandeparkar</style></author><author><style face="normal" font="default" size="100%">Sadashiv Deo</style></author><author><style face="normal" font="default" size="100%">D. B. Dhaigude</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PREEXPONENTIAL AND PRETRIGONOMETRIC FUNCTIONS</style></title><secondary-title><style face="normal" font="default" size="100%">c</style></secondary-title><short-title><style face="normal" font="default" size="100%">PREEXPONENTIAL AND PRETRIGONOMETRIC FUNCTIONS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">116</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This article develops pretrigonometric functions and prehyperbolic functions. Some properties of such functions are also developed. The theory developed will enrich the topic of special functions which are largely employed in applications.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">99</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author><author><style face="normal" font="default" size="100%">SORIN G. GAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUANTITATIVE ESTIMATES IN THE OVERCONVERGENCE OF SOME SINGULAR INTEGRALS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OVERCONVERGENCE OF SOME SINGULAR INTEGRALS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">32E30</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25.</style></keyword><keyword><style  face="normal" font="default" size="100%">41A35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we obtain quantitative estimates in the overconvergence phenomenon for the classical singular integrals of Gauss-Weierstrass, Poisson-Cauchy and Picard.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">13</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ISMAIL KOMBE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SHARP WEIGHTED RELLICH AND UNCERTAINTY PRINCIPLE INEQUALITIES ON CARNOT GROUPS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SHARP RELLICH AND UNCERTAINTY PRINCIPLE INEQUALITIES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">22E30</style></keyword><keyword><style  face="normal" font="default" size="100%">26D10.</style></keyword><keyword><style  face="normal" font="default" size="100%">43A80</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">272</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this work we prove sharp weighted Rellich-type inequalities and their improved versions for general Carnot groups. To derive the improved Rellich-type inequalities we have established new weighted Hardy-type inequalities with remainder terms. We also prove new sharp forms of the weighted Hardy-Poincare and uncertainty principle inequalities for polarizable Carnot groups.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">251</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOLVABILITY OF OPERATOR INCLUSIONS x ∈ Ax Bx + Cx IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OPERATOR INCLUSIONS IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">596</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, some hybrid fixed point theorems concerning the operator inclusions x ∈ Ax Bx + Cx in a Banach algebra are proved. They are applied to some first order ordinary differential inclusions of initial and boundary value problems for proving the existence theorems under mixed Lipschitz and compactness type conditions. Our results includes the multi-valued hybrid fixed point theorems of Dhage [1, 2, 3] as special cases.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">567</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">I. V. MELNIKOVA</style></author><author><style face="normal" font="default" size="100%">M. A. ALSHANSKIY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STOCHASTIC PROBLEMS IN SPACES OF ABSTRACT DISTRIBUTIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STOCHASTIC PROBLEMS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">442</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">435</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">OUIZA SAIFI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UPPER AND LOWER SOLUTION METHOD FOR SINGULAR φ−LAPLACIAN BVPS WITH DERIVATIVE DEPENDING NONLINEARITY ON [0, +∞)</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SINGULAR φ−LAPLACIAN BVPS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">480</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p align=&quot;justify&quot;&gt;
This article is concerned with the existence of positive solutions for a class of singular φ−Laplacian boundary value problems posed on the half-line. The nonlinearity depends on the solution and its derivative, and may exhibit a space-singularity at the origin. Some existence results are proved using the upper and lower solution technique in a special Banach space. The onlinearity
obeys sign and growth conditions with respect to the unknown. The singularity is treated by approximation and truncation.
&lt;/p&gt;</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">463</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NASSER-EDDINE TATAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">WELL-POSEDNESS FOR AN ABSTRACT SEMILINEAR VOLTERRA INTEGRO-FRACTIONAL-DIFFERENTIAL PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">WELL-POSEDNESS FOR A FRACTIONAL PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">35L10</style></keyword><keyword><style  face="normal" font="default" size="100%">35L70</style></keyword><keyword><style  face="normal" font="default" size="100%">35L90</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">504</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider an abstract second order semilinear integrodifferential equation involving fractional time derivatives of order between 0 and 2. Well-posedness is established under appropriate conditions on the initial data and the nonlinearities. These conditions which depend on the order of the fractional derivatives determine the exact underlying space.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">491</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">IRINA V. MELNIKOVA</style></author><author><style face="normal" font="default" size="100%">ALEXEI FILINKOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ABSTRACT STOCHASTIC PROBLEMS WITH GENERATORS OF REGULARIZED SEMIGROUPS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ABSTRACT STOCHASTIC PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34F05</style></keyword><keyword><style  face="normal" font="default" size="100%">34G10</style></keyword><keyword><style  face="normal" font="default" size="100%">46F10</style></keyword><keyword><style  face="normal" font="default" size="100%">47D62</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">212</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We study the stochastic Cauchy problem&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;27&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;341&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;where A is the generator of a regularized semigroup in a separable Hilbert space H, B is a bounded&lt;br /&gt;
linear operator and W is an H-valued Wiener process on a probability space (Ω, F, P ). We construct&lt;br /&gt;
regularized solutions to this problem in L 2 (Ω; H) and in spaces of abstract stochastic distributions.&lt;br /&gt;
We also study the semi-linear problem&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;31&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;395&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;where F and B satisfy some appropriate growth and Lipschitz conditions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">195</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">APPROXIMATION OF SOLUTIONS OF THE FORCED DUFFING EQUATION WITH m-POINT BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">APPROXIMATION OF SOLUTIONS OF THE FORCED DUFFING EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we discuss the existence and uniqueness of the solution of the forced Duffing equation with m-point boundary conditions. A monotone sequence of approximate solutions converging uniformly and quadratically to the unique solution of the problem is obtained by applying a generalized quasilinearization technique.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">11</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOHAMED ABDALLA DARWISH</style></author><author><style face="normal" font="default" size="100%">SOTIRIS K. NTOUYAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDARY VALUE PROBLEMS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS OF MIXED TYPE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">38</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we prove some existence results for boundary value problems for a functional differential equation of fractional order with both retarded and advanced arguments. The nonlinear alternative of Leray-Schauder type is the main tool in carrying out our proof.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">31</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. R. L. WEBB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDARY VALUE PROBLEMS WITH VANISHING GREEN’S FUNCTION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study positive solutions of integral equations in C[0, 1] where the kernel (Green’s function of the corresponding boundary value problem) is supposed to be non-negative on [0, 1 ]× [0, 1] but may vanish at some interior points which prevents use of some standard cones. We prove existence of one or two positive solution under some conditions which can be sharp.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">587</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. G. MEDHIN</style></author><author><style face="normal" font="default" size="100%">WEI WAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPETITIVE ADVERTISING IN A DUOPOLY: A STOCHASTIC DIFFERENTIAL GAME APPROACH</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">COMPETITIVE ADVERTISING IN A DUOPOLY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">91A15</style></keyword><keyword><style  face="normal" font="default" size="100%">91A23</style></keyword><keyword><style  face="normal" font="default" size="100%">91A80</style></keyword><keyword><style  face="normal" font="default" size="100%">91B50</style></keyword><keyword><style  face="normal" font="default" size="100%">91B60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">270</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We can not neglect the randomness in the dynamics of market competition. This paper develops a stochastic differential game model which incorporates advertising effects for two companies introducing a new brand of product, competing for the market share and optimizing the budget. Our model is formulated as a stochastic, two-player, noncooperative differential game. As to the choice of basic dynamics, because of the special sale growing style in the introductory period, our model disagrees with the simple decay factor in Vidale-Wolfe model, but is based on the combination of Lanchester combat model and Logistic growth model. The solution concept is Nash Equilibrium. We derive optimality necessary conditions for Nash Equilibrium from dynamic programming, which is a Stochastic Partial Differential Equation(SPDE). The typical work in this field is from Prasad A. (2004), where he analytically solved his model because of the special form of the model. We choose to solve the optimality conditions, which is SPDE system numerically. Management strategy and discussions based on practical considerations will be given based on numerical results.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">245</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTINUATION THEOREMS FOR ACYCLIC MAPS IN TOPOLOGICAL SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">CONTINUATION THEOREMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">46</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper discusses acyclic maps between topological spaces and we present a definition of an essential map in this setting. In addition we show that if F is essential and &lt;img alt=&quot;&quot; height=&quot;19&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;51&quot; /&gt;then G is essential.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">39</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. SATHANANTHAN</style></author><author><style face="normal" font="default" size="100%">MAHMOUD ANABTAWI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTROLLABILITY AND PRACTICAL STABILIZATION OF ˆ NONLINEAR IT O-TYPE STOCHASTIC CONTROLLED SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">CONTROLLABILITY AND PRACTICAL STABILIZATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">93E15</style></keyword><keyword><style  face="normal" font="default" size="100%">93E20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">230</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the concept of practical stability is investigated for a class of controlled stochastic systems of the Ito-Doob type. By using vector Lyapunov-like functions and comparison principle, sufficient conditions are established for various types of practical stability criteria in the p-th mean and in probability. This comparison principle allows one to determine the practical stability criteria of a nonlinear stochastic system by testing the practical stability of the corresponding auxiliary deterministic system with random initial condition. Finally, for the stochastic systems we discuss the controllability and study the optimal practical stabilization of controlled stochastic systems via the well known Hamilton-Jacobi-Bellman equation.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">213</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCESCO ALTOMARE</style></author><author><style face="normal" font="default" size="100%">VITA LEONESSA</style></author><author><style face="normal" font="default" size="100%">SABINA MILELLA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CORES FOR SECOND-ORDER DIFFERENTIAL OPERATORS ON REAL INTERVALS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35A35</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword><keyword><style  face="normal" font="default" size="100%">47E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We investigate several general conditions in order to determine some cores for generators of strongly continuous positive semigroups of the form &lt;em&gt;Au := αu′′ &lt;/em&gt;on weighted spaces of continuous functions on an arbitrary noncompact real interval. As an application we consider a degenerate differential operator of the above mentioned form on the interval [0, +∞[ and we establish an approximation formula for the corresponding positive semigroup in terms of iterates of an integral modification of Szász-Mirakjan operators.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">477</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PIER LUIGI PAPINI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COVERING THE SPHERE AND THE BALL IN BANACH SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46B99</style></keyword><keyword><style  face="normal" font="default" size="100%">52C17</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We collect and discuss some results concerning different, economical coverings for the unit ball or the unit sphere of Banach spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">579</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARCO DEGIOVANNI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CRITICAL GROUPS OF FINITE TYPE FOR FUNCTIONALS DEFINED ON BANACH SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;For a suitable class of functionals defined on Banach spaces, we prove that each isolated critical point has critical groups of finite type.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">395</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HALIS YILMAZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DIFFERENTIAL INVARIANTS FOR NONLINEAR PDES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/15.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study differential invariants for scalar evolution equations such as the KadomtsevPetviashvili and Novikov-Veselov equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">659</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH SEPARATED BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">RESULTS FOR NONLINEAR BOUNDARY VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">128</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper studies existence and uniqueness results in a Banach space for a two-point boundary value problem involving a nonlinear fractional differential equation given by&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;65&quot; 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&quot; width=&quot;417&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;Our results are based on contraction mapping principle and Krasnoselskii’s fixed point theorem.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">121</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">NAIMA HAMIDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR FRACTIONAL ORDER INTEGRAL  ́ EQUATIONS OF MIXED TYPE IN FR ECHET SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL ORDER INTEGRAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">120</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we discuss the existence of solutions for an integral equation of mixed type. We rely on a generalization on Fr ́echet spaces of a Krasnosel’skii type fixed point theorem due to Avramescu and on a nonlinear alternative of Leray-Schauder type for contraction maps in Fr ́echet spaces due to Frigon and Granas.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">111</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">NICUSOR COSTEA</style></author><author><style face="normal" font="default" size="100%">VICENTIU RADULESCU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR HEMIVARIATIONAL INEQUALITIES INVOLVING RELAXED η − α MONOTONE MAPPINGS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H04</style></keyword><keyword><style  face="normal" font="default" size="100%">47H05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J20</style></keyword><keyword><style  face="normal" font="default" size="100%">58E35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish some existence results for hemivariational inequalities with relaxed η − α monotone mappings on bounded, closed and convex subsets in reflexive Banach spaces. Our proofs rely essentially on a fixed point theorem for set valued mappings which is due to Tarafdar [20]. We also give a sufficient condition for the existence of solutions in the case of unbounded subsets.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">293</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LOTFI LASSOUED</style></author><author><style face="normal" font="default" size="100%">ALI MAALAOUI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS TO −∆pu = V (x)f(u) IN A BOUNDED DOMAIN OF Rd</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35A05</style></keyword><keyword><style  face="normal" font="default" size="100%">35B50</style></keyword><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">359</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FARIBORZ ASADIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXTENSION OF STOCHASTIC INTEGRAL IN BANACH SPACE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STOCHASTIC INTEGRATION IN BANACH SPACE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60H05</style></keyword><keyword><style  face="normal" font="default" size="100%">60H07</style></keyword><keyword><style  face="normal" font="default" size="100%">60H15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">180</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The space of distributions on an abstract Wiener space (H, B) is constructed through the second quantification of a self-adjoint unbounded operator on the Cameron-Martin space H. This construction is used to enlarge the domain of the adjoint of the stochastic derivative, thereby generalizing stochastic integration of Hilbert valued processes with respect to a Wiener process in B. We apply this generalization to the study of an abstract stochastic linear system driven by a cylindrical Wiener process.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">167</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PIERLUIGI BENEVIERI</style></author><author><style face="normal" font="default" size="100%">ALESSANDRO CALAMAI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FAST FORCED OSCILLATIONS FOR CONSTRAINED MOTION PROBLEMS WITH DELAY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">70K42</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We show that a global continuation result for &lt;em&gt;T&lt;/em&gt; -periodic solutions of delay differential equations on manifolds proved by the authors in a previous paper still holds when the period&lt;em&gt; T&lt;/em&gt; is smaller than the delay. As an application we get an existence result for fast forced oscillations of motion problems with delay on compact, topologically nontrivial, manifolds.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">497</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIRST ORDER FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH PERIODIC BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">92</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, an existence theorem for a first order functional integro-differential inclusion in Banach algebras with the periodic boundary conditions is proved via a new fixed point principle of Leray-Schauder type under generalized Lipschitz and Carath ́eodory conditions. An existence theorem for the extremal solutions is also obtained under certain monotonicity conditions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">71</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">INES BEN OMRANE</style></author><author><style face="normal" font="default" size="100%">MAKKIA DAMMAK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A GENERALIZED FOUR DIMENSIONAL EMDEN-FOWLER EQUATION WITH EXPONENTIAL NONLINEARITY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">53C21</style></keyword><keyword><style  face="normal" font="default" size="100%">58J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we prove the existence of singular limits for solutions of four-dimensional Emden-Fowler equation in Bi-laplace form with exponential nonlinearity by using some nonlinear domain decomposition method. The proofs combine variational methods with potential theory techniques.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">431</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">GIUSEPPE RIEY</style></author><author><style face="normal" font="default" size="100%">GIUSEPPE TOMASSETTI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MICROPOLAR LINEARLY ELASTIC RODS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J45</style></keyword><keyword><style  face="normal" font="default" size="100%">68U10</style></keyword><keyword><style  face="normal" font="default" size="100%">94A08</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/14.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We use Γ-convergence to recover the behaviour of solutions of the equilibrium problem for a linearly elastic micropolar rod.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">647</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ROBERTO LIVREA</style></author><author><style face="normal" font="default" size="100%">SALVATORE A. MARANO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON A MIN-MAX PRINCIPLE FOR NON-SMOOTH FUNCTIONS AND APPLICATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J35</style></keyword><keyword><style  face="normal" font="default" size="100%">49J52</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Extensions of the seminal Ghoussoub’s min-max principle [15] to non-smooth functionals given by a locally Lipschitz continuous term plus a convex, proper, lower semi-continuous function are presented and discussed in this survey paper. The problem of weakening the PalaisSmale compactness condition is also treated. Some abstract consequences as well as applications to elliptic hemivariational or variational-hemivariational inequalities are then pointed out.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">411</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MIRELLA CAPPELLETTI MONTANO</style></author><author><style face="normal" font="default" size="100%">SABRINA DIOMEDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MODIFIED BERNSTEIN-SCHNABL OPERATORS ON CONVEX COMPACT SUBSETS OF LOCALLY CONVEX SPACES AND THEIR LIMIT SEMIGROUPS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">41A65</style></keyword><keyword><style  face="normal" font="default" size="100%">47D03</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we introduce a sequence ${\ (M_n\ )\ _{n\geq\ n_0} }$ of positive linear operators as a modification of the Bernstein-Schnabl operators associated with a positive projection on ${ \ C(K) }$, where ${ \ K}$ is a convex compact subset of a locally convex space; moreover we study its main approximation and qualitative properties. Furthermore, we establish an asymptotic formula for those operators, and we prove that to the sequence ${\ (M_n\ )\ _{n\geq\ n_0} }$ there corresponds a uniquely determined ${ \ C_0 }$-semigroup (in some special case a Feller one) which is representable as a limit of suitable powers of the operator&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">609</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. MOTREANU</style></author><author><style face="normal" font="default" size="100%">V. MOTREANU</style></author><author><style face="normal" font="default" size="100%">N.  PAPAGEORGIOU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE SOLUTIONS FOR DIRICHLET PROBLEMS WHICH ARE SUPERLINEAR AT +∞ AND (SUB-)LINEAR AT−∞</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J25</style></keyword><keyword><style  face="normal" font="default" size="100%">35J80</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">17</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider a semilinear Dirichlet elliptic problem with a right-hand side nonlinearity which exhibits an asymmetric growth near +∞ and near −∞. Namely, it is (sub-)linear near −∞ and superlinear near +∞. However, it need not satisfy the Ambrosetti–Rabinowitz condition on the positive semiaxis. Combining variational methods with Morse theory, we show that the problem has at least two nontrivial solutions, one of which is negative.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">341</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. FILIPPAKIS</style></author><author><style face="normal" font="default" size="100%">D. O’REGAN</style></author><author><style face="normal" font="default" size="100%">N.  PAPAGEORGIOU3</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE SOLUTIONS FOR NONCOERCIVE RESONANT NEUMANN HEMIVARIATIONAL INEQUALITIES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J20</style></keyword><keyword><style  face="normal" font="default" size="100%">35J85</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider semilinear Neumann problems with a nonsmooth potential. Using variational methods based on the nonsmooth critical point theory, we prove existence and multiplicity theorems. Our framework of analysis incorporates strongly resonant problems and in contrast to earlier works on the subject, the Euler functional of our problem need not be coercive.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">305</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SHIBO LIU</style></author><author><style face="normal" font="default" size="100%">EVERALDO MEDEIROS</style></author><author><style face="normal" font="default" size="100%">KANISHKA PERERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLICITY RESULTS FOR p -BIHARMONIC PROBLEMS VIA MORSE THEORY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</style></keyword><keyword><style  face="normal" font="default" size="100%">47J30</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/13.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish some multiplicity results for &lt;em&gt;p&lt;/em&gt;-sublinear and p-superlinear&lt;em&gt; p&lt;/em&gt;-biharmonic problems using Morse theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">447</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLICITY RESULTS FOR SUBLINEAR AND SUPERLINEAR HAMMERSTEIN INTEGRAL EQUATIONS VIA MORSE THEORY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47J20</style></keyword><keyword><style  face="normal" font="default" size="100%">47J30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we establish some results for nonlinear sublinear and superlinear Hammerstein integral equations. Using Morse theory and in particular critical groups we prove a number of multiplicity results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">385</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. CHABROWSKI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE NEUMANN PROBLEM WITH SINGULAR AND SUPERLINEAR NONLINEARITIES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J35</style></keyword><keyword><style  face="normal" font="default" size="100%">35J50</style></keyword><keyword><style  face="normal" font="default" size="100%">35J67</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish the existence of two distinct solutions for problem (1.1) for small values of a parameter λ &amp;gt; 0 in a subcritical case. This is obtained as a combination of approximation and variational methods. In a critical case we show the existence of at least one solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">327</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CEMIL TUNC</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NEW BOUNDEDNESS RESULT TO NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER WITH FINITE LAG</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A NEW BOUNDEDNESS RESULT</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Criteria for boundedness of solutions to the nonlinear third order delay differential equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;58&quot; 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&quot; width=&quot;475&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;are obtained by Lyapunov’s second method. By introducing a Lyapunov functional, sufficient conditions are established that guarantee that all solutions of this equation are bounded. An example is also given to illustrate the importance of result obtained. Our findings improve a result existing in the literature to boundedness of solutions for this delay differential equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">HENRI SCHURZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NEW STOCHASTIC INTEGRALS, OSCILLATION THEOREMS AND ENERGY IDENTITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NEW STOCHASTIC INTEGRALS, OSCILLATIONS AND ENERGY</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34F05</style></keyword><keyword><style  face="normal" font="default" size="100%">37H10</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">65C30.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">194</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper is divided into three parts on diverse aspects of stochastic analysis, namely&lt;br /&gt;
1) newly defined stochastic integrals such as the stochastic Simpson and stochastic quadrature integrals and their relation to the recently introduced stochastic α-integral by the author (DSA, Vol. 15 (2), 2006),&lt;br /&gt;
2) oscillation theorems for second order stochastic differential equations (SDEs) which show the almost sure oscillation property of all linear undamped oscillators perturbed by additive, non-degenerate martingale-type noise for all measurable random initial data (this generalizes results from X. Mao (1997), Markus and Weerasinghe (1988)),&lt;br /&gt;
3) expected energy formulas for linear stochastic oscillators with additive noise under adequate discretization by midpoint-type methods (the latter generalizes independent results from Hong, Scherer and Wang (NPSC, Vol. 14 (1), 2006) and the author (2004 for the beam problem, 2005 for stochastic wave equation)). Energy-exact stochastic-numerical methods (called improved midpoint methods) for linear second order SDEs are constructed and verified along non-equidistant partitions.&lt;br /&gt;
These results can be applied to quadrature methods such as Newton-Cotes formulas for stochastic integrals, to analysis of the oscillatory and energy behavior of stochastically perturbed Schr ̈odinger equations, stochastic oscillators, beam models and stochastic wave equations for randomly vibrating strings.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">181</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VICTORIA MARTÍN-MARQUEZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONEXPANSIVE MAPPINGS AND MONOTONE VECTOR FIELDS IN HADAMARD MANIFOLDS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49M30</style></keyword><keyword><style  face="normal" font="default" size="100%">90C26</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/13.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper briefly surveys some recent advances in the investigation of nonexpansive mappings and monotone vector fields, focusing in the extension of basic results of the classical nonlinear functional analysis from Banach spaces to the class of nonpositive sectional curvature Riemannian manifolds called Hadamard manifolds. Within this setting, we first analyze the problem of finding fixed points of nonexpansive mappings. Later on, different classes of monotonicity for set-valued vector fields and the relationship between some of them will be presented, followed by the study of the existence and approximation of singularities for such vector fields. We will discuss about variational inequality and minimization problems in Hadamard manifolds, stressing the fact that these problems can be solved by means of the iterative approaches for monotone vector fields.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">633</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SHUYA KANAGAWA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NUMERICAL ANALYSIS OF REFLECTING BROWNIAN MOTION AND A NEW MODEL OF SEMI-REFLECTING BROWNIAN MOTION WITH SOME DOMAINS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">REFLECTING BROWNIAN MOTION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60G50</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">65C30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">244</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We investigate the error of the Euler-Maruyama approximate solution of the multidimensional reflecting Brownian motion and semi-reflecting Brownian motion using the penalty method and show their numerical simulations. Furthermore we consider a new model of semi-reflecting Brownian motion with some domains.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">231</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SAID R. GRACE</style></author><author><style face="normal" font="default" size="100%">RAVI P. AGARWAL</style></author><author><style face="normal" font="default" size="100%">SANDRA PINELAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE OSCILLATIONS OF FOURTH ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FOURTH ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">104</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We establish some sufficient conditions for the oscillations of all solutions of fourth order functional differential equations&lt;/div&gt;

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&lt;div class=&quot;rtejustify&quot;&gt;and&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;50&quot; 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&quot; width=&quot;389&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;when&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;27&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;136&quot; /&gt; The case when&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;26&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;123&quot; /&gt; is also included.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">93</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALESSANDRO CALAMAI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">ALFONSO VIGNOLI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN OVERVIEW ON SPECTRAL THEORY FOR NONLINEAR OPERATORS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H14</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We compare different spectral theories for nonlinear operators, focusing in particular on the notion of spectrum at a point recently introduced by the authors. We discuss the main properties of the nonlinear spectrum and present illustrating applications and examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">509</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCISCO ODAIR DE PAIVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PAIRS OF SOLUTIONS OF ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J20</style></keyword><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish the existence of two nontrivial solutions for the semilinear elliptic problem $${\text{-}\Delta\ u=g(x,u) \text{ } \text&amp;nbsp;{in} \text{ } \Omega }$$ $${ \ u=0&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;\text{&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; } \text{on} \text{ } \partial \Omega \text{,} }$$ where Ω ⊂ &lt;em&gt;R&lt;sup&gt;N&lt;/sup&gt;&lt;/em&gt; is a smooth bounded domain, &lt;em&gt;g ∈ C&lt;sup&gt;1&lt;/sup&gt; (Ω × R \&lt;/em&gt; {0}&lt;em&gt;, R)&lt;/em&gt; is such that &lt;em&gt;g(x, 0)= 0&lt;/em&gt; and asymptotically linear. Our proofs are based on minimax methods and critical groups.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">375</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ALEXANDRU KRISTÀLY</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">CSABA VARGA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PARAMETERIZED NONLINEAR EQUATIONS ON DIRICHLET FORMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">31C25</style></keyword><keyword><style  face="normal" font="default" size="100%">35B38</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;By using variational techniques we prove the existence of two nontrivial solutions for a parameterized nonlinear equation relative to Dirichlet forms.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">317</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAGHIB,  M. ABU-SARIS</style></author><author><style face="normal" font="default" size="100%">NEDA’A,  K. AL-JUBOURI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE PERIODICITY OF LOZI’S EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PERIODICITY OF LOZI’S EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A20.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">56</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We investigate the periodic nature of the solutions of the second order nonlinear difference equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;with real parameters, α, β, γ, and real initial condition, y&lt;sub&gt;−1&lt;/sub&gt; , y&lt;sub&gt;0&lt;/sub&gt; . Indeed, we show that if γ = 0, then all solutions are periodic of the same period p if and only if α = 0 and β = −1, in which case, p = 4. Also, we identify all periodic solutions of minimal period 2 and 3.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">47</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MICHELE CAMPITI</style></author><author><style face="normal" font="default" size="100%">CRISTIAN TACELLI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERTURBATIONS OF BERNSTEIN-DURRMEYER OPERATORS ON THE SIMPLEX AND BEST APPROXIMATION PROPERTIES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">47A58</style></keyword><keyword><style  face="normal" font="default" size="100%">47E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study some modifications of Bernstein-Durrmeyer operators on a d-dimensional simplex in order to satisfy a best approximation property and an integro-differential Voronovskajatype formula. Some applications concerning the representation of the solution of suitable evolution problems are also considered.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">597</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MIROSLAWA ZIMA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR FIRST-ORDER BOUNDARY VALUE PROBLEMS AT RESONANCE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">47A53</style></keyword><keyword><style  face="normal" font="default" size="100%">47H11</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/16.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In the paper we obtain sufficient conditions for the existence of positive solutions for first-order boundary value problems. Our result is based on a Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">671</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gennaro Infante</style></author><author><style face="normal" font="default" size="100%">Paolamaria Pietramala</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PROFESSOR ESPEDITO DE PASCALE</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">4</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">457</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ZBIGNIEW WALCZAK</style></author><author><style face="normal" font="default" size="100%">R. N. MOHAPATRA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">RATE OF CONVERGENCE F TWO-DIMENSIONAL ANALOGOUE OF BASKAKOV OPERATORS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">BASKAKOV OPERATORS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">110</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The aim of this paper is to study the rate of convergence of the two-dimensional generalization of the Baskakov operators.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">105</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ATRIZIA DANIELE</style></author><author><style face="normal" font="default" size="100%">SOFIA GIUFFRE</style></author><author><style face="normal" font="default" size="100%">ANTONINO MAUGER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">REMARKS ON GENERAL INFINITE DIMENSIONAL DUALITY WITH CONE AND EQUALITY CONSTRAINTS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46A22</style></keyword><keyword><style  face="normal" font="default" size="100%">49N15</style></keyword><keyword><style  face="normal" font="default" size="100%">90C25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><isbn><style face="normal" font="default" size="100%">1</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We prove a strong duality result between a convex optimization problem with both cone and equality constraints and its Lagrange dual formulation, provided that a constraint qualifi- cation condition related to the notion of quasi-relative interior holds true. In such a way we overcome the difficulty that the interior of the set involved in the regularity condition is empty.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JÜRGEN APPELL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">“ON REVIENT TOUJOURS A SON PREMIER AMOUR”: ON THE MATHEMATICAL WORK OF ESPEDITO DE PASCALE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">01A75</style></keyword><keyword><style  face="normal" font="default" size="100%">34-99</style></keyword><keyword><style  face="normal" font="default" size="100%">45-99</style></keyword><keyword><style  face="normal" font="default" size="100%">46-99</style></keyword><keyword><style  face="normal" font="default" size="100%">47-99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In the first part of this note, we briefly describe Espedito De Pascale’s mathematical work during the last 30 years. In the second part we discuss some aspects of numerical ranges for nonlinear operators which have been a field of particular interest of De Pascale.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">461</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHN A. D. APPLEBY</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">TERRY LYNCH</style></author><author><style face="normal" font="default" size="100%">XUERONG MAO</style></author><author><style face="normal" font="default" size="100%">HUIZHONG WU</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">THE SIZE OF THE LARGEST FLUCTUATIONS IN A MARKET MODEL WITH MARKOVIAN SWITCHING</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MARKET MODEL WITH MARKOVIAN SWITCHING</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D05</style></keyword><keyword><style  face="normal" font="default" size="100%">60F15</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">60J25</style></keyword><keyword><style  face="normal" font="default" size="100%">60J65</style></keyword><keyword><style  face="normal" font="default" size="100%">91B28</style></keyword><keyword><style  face="normal" font="default" size="100%">91B62</style></keyword><keyword><style  face="normal" font="default" size="100%">91B70</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">166</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper considers the size of the large fluctuations of a stochastic differential equation with Markovian switching. We concentrate on processes which obey the Law of the Iterated Logarithm, or obey upper and lower iterated logarithm growth bounds on their almost sure partial maxima. The results are applied to financial market models which are subject to random regime shifts. We prove that the security exhibits the same long–run growth properties and deviations from the trend rate of growth as conventional geometric Brownian motion, and also that the returns, which are non–Gaussian, still exhibit the same growth rate in their almost sure large deviations as stationary continuous–time Gaussian processes.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">135</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CHUNPING LIAO</style></author><author><style face="normal" font="default" size="100%">HAIPING YE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLUTION OF A NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">70</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper investigates the existence of a positive solution to a general scalar delayed population model of fractional order that is a nonlinear fractional functional differential equation by applying a nonlinear alternative of Leray-Schauder type in a cone and the generalization of Gronwall’s lemma for singular kernels, improving previously known results. Further, we show the continuous dependence of the solution on the order and the initial condition of nonlinear fractional functional differential equations and obtain an Mittag-Leffler functional estimate of the solution by virtue of the generalized Gronwall inequality.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">57</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PAOLA CAVALIERE</style></author><author><style face="normal" font="default" size="100%">PAOLO DE LUCIA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME NEW RESULTS IN NON-ADDITIVE MEASURE THEORY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">28A12</style></keyword><keyword><style  face="normal" font="default" size="100%">28A33</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We are concerned with a wide class of non-additive functions, namely quasi - triangular functions, defined on a Boolean ring and taking values into a topological space, where no algebraic structure is required. The aim of the paper is twofold. First we prove that in some sense this class is equivalent to that one of finitely additive functions valued into a topological Abelian group. Secondly we show that a Vitali-Hahn-Saks theorem holds for exhaustive elements of it.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">535</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY IN TERMS OF TWO MEASURES FOR PERTURBED DYNAMIC INTEGRO-DIFFERENTIAL EQUATIONS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STABILITY IN TERMS OF TWO MEASURES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we will give a new comparison theorem that connects the solutions of perturbed and unperturbed dynamic systems in terms of two measures on time scales.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">21</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author><author><style face="normal" font="default" size="100%">S. KERBAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STOCHASTIC DYNAMIC MODEL FOR POROUS MEDIA EQUATION DESCRIBING UNDERGROUND RESOURCES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STOCHASTIC DYNAMICS FOR AQUIFERS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A36</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">49J24</style></keyword><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword><keyword><style  face="normal" font="default" size="100%">93E20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">286</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider a stochastic model for porous media flow. This is a degenerate nonlinear stochastic parabolic partial differential equation which may change type from parabolic to elliptic and vice versa. We present existence and regularity of weak solutions. We formulate certain control problems for aquifers (under ground water reservoirs) and discuss some open problems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">271</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARTN SCHECHTER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">WAVE EQUATIONS THAT ARE RADIALLY SYMMETRIC</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword><keyword><style  face="normal" font="default" size="100%">49J35</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">5</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study the periodic semilinear problem for the rotationally invariant wave equation. Our hypotheses are given in terms of the primitive of the nonlinearity.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">287</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">THIERRY CHAMPION</style></author><author><style face="normal" font="default" size="100%">LUIGI DE PASCALE</style></author><author><style face="normal" font="default" size="100%">CHLOE JIMENEZ</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE ∞-EIGENVALUE PROBLEM AND A PROBLEM OF OPTIMAL TRANSPORTATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The so-called eigenvalues and eigenfunctions of the infinite Laplacian ∆∞ are defined through an asymptotic study of that of the usual p-Laplacian ∆p, this brings to a characterization via a non-linear eigenvalue problem for a PDE satisfied in the viscosity sense. In this paper, we obtain an other characterization of the first eigenvalue via a problem of optimal transportation, and recover properties of the first eigenvalue and corresponding positive eigenfunctions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">547</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. G. MEDHIN</style></author><author><style face="normal" font="default" size="100%">WEI WAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPETITION FOR MARKET IN THE LAST STAGE OF PRODUCT LIFE-CYCLE: A DIFFERENTIAL GAMES APPROACH</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">91A23</style></keyword><keyword><style  face="normal" font="default" size="100%">91A80</style></keyword><keyword><style  face="normal" font="default" size="100%">91B50</style></keyword><keyword><style  face="normal" font="default" size="100%">91B60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">23</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;After stable sale in the second stage of product life cycle, the sale will decrease gradually. This paper deals with competition in the last stage of product life cycle. A differential game model will be set up for competition in this stage. We base the dynamics on Lanchester type competition and natural decrease of sales. Because the length of product life will be affected by the advertising, the n competitors’ controls/advertising policies will be coupled in the coefficients of natural decrease. Infinite time horizon will be involved. Besides open-loop and closed-loop controls, we will discuss another type of competition, in which the roles of competitors are not symmetric: some competitors adopt open-loop controls and others adopt closed-loop controls. From Pontryagin optimal condition we derive Two-Point-Boundary-Value Problems(TPBVP). We will solve the TPBVP by an algorithm based on Newton’s method. In the algorithm we will use random perturbation technique to generate Jacobian matrix and prevent the Jacobian matrix from being singular. From numerical results we draw general rules about competition policies in the final stage. From the numerical results we will also see that in some markets, small companies following the control/advertising policies of bigger companies is a good strategy.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">113</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author><author><style face="normal" font="default" size="100%">F. REZAEI</style></author><author><style face="normal" font="default" size="100%">S. LOYKA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTROL THEORETIC FORMULATION OF CAPACITY OF DYNAMIC ELECTRO MAGNETIC CHANNELS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34H05</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q60</style></keyword><keyword><style  face="normal" font="default" size="100%">49K20</style></keyword><keyword><style  face="normal" font="default" size="100%">93Exx</style></keyword><keyword><style  face="normal" font="default" size="100%">94A40</style></keyword><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper nonhomogeneous deterministic and stochastic Maxwell equations are used to rigorously formulate the capacity of electromagnetic channels such as wave guides (cavities, coaxial cables etc). Both distributed, but localized, and Dirichlet boundary data are considered as the potential input sources. We prove the existence of a source measure, satisfying certain second order constraints (equivalent to power constraints), at which the channel capacity is attained. Further, necessary and sufficient conditions for optimality are presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">297</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">YOSHITAKA ISHIHARA</style></author><author><style face="normal" font="default" size="100%">JOSEPH E. PAULLET</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DUAL SOLUTIONS FOR AXISYMMETRIC STAGNATION POINT FLOW OVER A LUBRICATED SURFACE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B15</style></keyword><keyword><style  face="normal" font="default" size="100%">76D03</style></keyword><keyword><style  face="normal" font="default" size="100%">76D10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">7</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this note we consider axisymmetric stagnation point flow of one fluid impinging on a disk covered with a second fluid. A similarity reduction is employed to reduce the governing PDEs to a nonlinear ODE boundary value problem. Previous numerical investigations of the problem in the literature indicate the existence of one solution. Here we prove the existence of at least two solutions to the BVP. We also obtain results concerning the possibility of further solutions and present numerical approximations to the solutions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">289</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DYNAMICS OF FLOW IN POROUS MEDIA AND ITS CONTROL APPLIED TO OPTIMAL MANAGEMENT OF UNDERGROUND RESOURCES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A36</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">49J24</style></keyword><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the control of a porous media equation described by a class of degenerate nonlinear partial differential equations. We formulate control problems for aquifers (under ground water reservoirs) and present necessary conditions of optimality. The necessary conditions involve simultaneous optimization of location of wells in aquifers and ground water extraction rate from each of the wells. The method presented also applies to optimal extraction of other underground resources.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">221</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JUN JI</style></author><author><style face="normal" font="default" size="100%">BO YANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EIGENVALUE COMPARISONS FOR BOUNDARY VALUE PROBLEMS OF THE DISCRETE ELLIPTIC EQUATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study a boundary value problem for a discrete elliptic equation. The focus will be on the structure of the spectrum of this problem and the existence of a positive eigenvector corresponding to the smallest eigenvalue. Comparison results for the eigenvalues are also established as the coefficients of the problem changes.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">189</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">MOHAMED ABDALLA DARWISH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND UNIQUENESS THEOREM FOR FUZZY INTEGRAL EQUATION OF FRACTIONAL ORDER</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We present an existence and uniqueness theorem for integral equations of fractional order involving fuzzy set valued mappings of a real variable whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in ${ \mathbb{R}^n}$. The method of successive approximation is the main tool in our analysis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">13</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR SECOND ORDER HYPERBOLIC PARTIAL DIFFERENTIAL INCLUSIONS INVOLVING DISCONTINUOUS MULTIFUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35L20</style></keyword><keyword><style  face="normal" font="default" size="100%">35L70</style></keyword><keyword><style  face="normal" font="default" size="100%">35R70</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The present paper studies the existence results for the second order hyperbolic partial differential inclusions in the nonconvex case and without assuming any kind of the continuity conditions on the multi-valued functions. The existence of the extremal solutions is also established under certain monotonicity conditions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">321</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PATRICIA J. Y. WONG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIXED-SIGN SOLUTIONS OF VOLTERRA INTEGRAL EQUATIONS: THE SEMIPOSITONE CASE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45B05</style></keyword><keyword><style  face="normal" font="default" size="100%">45G15</style></keyword><keyword><style  face="normal" font="default" size="100%">45M20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the following Volterra intergral equation $${ u(t) = µ \int_{0}^{t}g(t, s)f(s, u(s))ds, t ∈ [0, T] }$$ where µ &amp;gt; 0. Here, the function f may take ‘negative’ values, i.e., the ‘semipositone’ case. Criteria are offered for the existence of one and more fixed-sign solutions ${u}$ of the equation in ${C[0, T]}$. We say ${u}$ is of fixed sign if ${u(t) ≥ 0\&amp;nbsp;or \&amp;nbsp;u(t) ≤ 0 \ for \ all \&amp;nbsp;t ∈ [0, T]}$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">265</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VASILY E. TARASOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL POWERS OF DERIVATIVES IN CLASSICAL MECHANICS</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Fractional analysis is applied to describe classical dynamical systems. Fractional derivative can be defined as a fractional power of derivative. The infinitesimal generators {H, ·} and ${ L= G(q, p)∂_q + F(q, p)∂_p }$, which are used in equations of motion, are derivative operators. We consider fractional derivatives on a set of classical observables as fractional powers of derivative operators. As a result, we obtain a fractional generalization of the equation of motion. This fractional equation is exactly solved for the simple classical systems. The suggested fractional equations generalize a notion of classical systems to describe dissipative processes.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">441</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERALIZED MONOTONE METHOD FOR PERIODIC BOUNDARY VALUE PROBLEMS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A99</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, the generalized monotone iterative technique is developed to study existence of solutions of PBVP for fractional differential equation, where the function considered is split into two parts, a function that is can be made non-decreasing and a function that is nonincreasing.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">399</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V. LAKSHMIKANTHAM</style></author><author><style face="normal" font="default" size="100%">S. LEELA</style></author><author><style face="normal" font="default" size="100%">M. SAMBANDHAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LYAPUNOV THEORY FOR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Recently there has been a surge in the study of the theory of fractional differential equations. The existing results have been collected in the forthcoming monograph on that subject [1]. In this paper, we prove necessary comparison theorems utilizing Lyapunov-like functions, define stability concepts in terms of a norm and prove stability results parallel to Lyapunov’s results relative to stability and asymptotic stability. Since there are many stability concepts and corresponding results in the literature for ODEs, it is useful to work with stability concepts in terms of two measures, which includes several important stability notions as special cases [2, 3]. A few choices of the two measures are given to demonstrate the versatility of this approach. We extend this versatile approach to provide necessary conditions for stability criteria in terms of two measures for fractional differential equations. We use Caputo’s derivative of arbitrary order which is more suitable to discuss Lyapunov stability theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">365</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">DJAMILA SEBA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MEASURE OF NONCOMPACTNESS AND FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of M¨onch’s fixed point theorem and the technique of measures of noncompactness.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">419</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D. B. Dhaigude</style></author><author><style face="normal" font="default" size="100%">S. B. KIWNE</style></author><author><style face="normal" font="default" size="100%">R. M. DHAIGUDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE ITERATIVE SCHEME FOR WEAKLY COUPLED SYSTEM OF FINITE DIFFERENCE REACTION-DIFFUSION EQUATIONS</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The purpose of this paper is to develop monotone iteration scheme using the notion of upper and lower solutions for system of nonlinear finite difference equations, which correspond to the weakly coupled system of nonlinear reaction-diffusion equations with nonlinear boundary conditions. Two monotone sequences are constructed for the finite difference equations when both reaction function and boundary function are mixed quasimonotone. It is shown that these sequences converge monotonically to a solution of the finite difference system, which leads to existence-comparison result for the solution of the problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">161</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SESHADEV PADHI</style></author><author><style face="normal" font="default" size="100%">CHUANXI QIAN</style></author><author><style face="normal" font="default" size="100%">SHILPEE SRIVASTAVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE PERIODIC SOLUTIONS FOR A FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION WITH APPLICATIONS TO POPULATION DYNAMICS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we use Leggett-Williams multiple fixed point theorem to obtain several different sufficient conditions for the existence of at least three positive periodic solutions for the first order functional differential equations of the form $${ y′ (t) = −a(t)y(t) + λf(t, y(h(t))). }$$&amp;nbsp;Some applications to mathematical ecological models and population models are also given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">341</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JOHN ALLISON</style></author><author><style face="normal" font="default" size="100%">NICKOLAI KOSMATOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTI-POINT BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study multi-point boundary value problems of fractional order with the Riemann-Liouville and Caputo fractional derivatives. The existence results are obtained using the Schauder fixed point theorem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">451</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. G. MEDHIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A MULTISCALE MODEL FOR RUBBER VISCOELASTICITY UNDER SHEAR DEFORMATION</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A molecular based model for the viscoelasticity of rubber under shear deformation is developed using a stick-slip continuous molecular model. In our model cross-linked(CC)-system of molcules restrict the motion of entrapped or physically constrained(PC)-molecules. The dynamics of the PC-molecules is modeled by reptation in which the CC-molecules act as constraint boxes and the PC-molecules have to reptate in between the CC-molecules. We assume that a CC-unit cell is placed at each point of the rubber continuum with an entrapped PC-cell inside it. The deformation of the CC-cell causes a deformation of the PC-system which relaxes after removal of the deformation. In the relaxation process the PC-molecules act as internal variables affecting the relaxation process of the CC-system. The Rouse model for relaxing polymers is incorporated into the stick-slip model presented by Johnson and Stacer [13] for describing the dynamics of the entrapped molecule for a short time right after instantneous step-strain of the constraining CC-cell.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">147</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. G. MEDHIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTISCALE MODELING OF THE VISCOELASTICITY OF A RUBBER ROD UNDER TENSILE DEFORMATION</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A molecular based model for the viscoelasticity of rubber is developed using a stickslip continuous molecular model. A corresponding nonlinear continuum model is given for tensile deformation. A linearized version of the model is studied for qualitative properties of the model. In our model cross-linked(CC)-system of molecules restrict the motion of entrapped or physically constrained(PC)-molecules. The dynamics of the PC-molecules is modeled by reptation in which the CC-molecules act as constraint boxes and the PC-molecules have to reptate in between the CC-molecules. We assume that a CC-unit cell is placed at each point of the rubber continuum with an entrapped PC-cell inside it. The deformation of the CC-cell causes a deformation of the PCsystem which relaxes after removal of the deformation. In the relaxation process the PC-molecules act as internal variables affecting the relaxation process of the CC-system. The Rouse model for relaxing polymers is incorporated into the stick-slip model presented by Johnson and Stacer [28] for describing the dynamics of the entrapped molecule for a short time right after instantaneous step-strain of the constraining CC-cell.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gennaro Infante</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONLOCAL BOUNDARY VALUE PROBLEMS WITH TWO NONLINEAR BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish new results on the existence of positive solutions for some nonlocal boundary value problems subject to two nonlinear boundary conditions. Our approach relies on the classical fixed point index theory for compact maps.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">279</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VU VAN KHUONG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NOTE ON POSITIVE NONOSCILLATORY SOLUTIONS OF THE DIFFERENCE EQUATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The aim of this note is to show that the following difference equation$${ x_{n+1} = \frac{p} {x_n} + \left(\frac{x_{n−2}} {x_n} \right)^α }$$ where p, α &amp;gt; 0, has positive nonoscillatory solutions which converge to the positive equilibrium ${ \bar{x} = \frac {1 + \sqrt{1 + 4p}} {2} }$ . In the proof of the result we use a method developed by L. Berg and S. Stevic.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">199</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. PEDERSON</style></author><author><style face="normal" font="default" size="100%">M. SAMBANDHAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NUMERICAL SOLUTION OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34A50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study numerical methods for hybrid fractional differential equations. A convergence result is proven and we provide a numerical example called the hybrid relaxationoscillation equation. The numerical solution is compared to the actual solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">429</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. H. SAKER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF PERTURBED DELAY DYNAMIC EQUATIONS ON TIME SCALES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A13</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the oscillation of second-order nonlinear perturbed delay dynamic equations on time scales. By using employing the Riccati substitution, we establish some sufficient conditions for oscillation. We also follow the technique that has been used in [20] and establish some different sufficient conditions for oscillation which can be considered as the extension of oscillation criteria established by Hille and Nehari for second-order differential equations and can be applied on the sublinear and superlinear cases. As a special case the results improve some oscillation criteria in the literature for perturbed dynamic equations without delay. Some examples are considered to illustrate the main results&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">209</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. H. SAKER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF SUPERLINEAR AND SUBLINEAR NEUTRAL DELAY DYNAMIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A13</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The paper is concerned with oscillation of certain class of second-order nonlinear neutral delay dynamic equations on time scales. We will use a unified approach on time scales and employing the Riccati techniques to establish some new criteria for oscillation. The results represent further improvements on those given for the superlinear neutral dynamic equations and in the sublinear case the results are essentially new. An example is considered to illustrate the main results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">173</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JIFENG CHU</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS OF SYSTEM OF FUNCTIONAL DIFFERENCE EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we deal with the existence of positive periodic solutions of the functional difference system ${ x(n + 1) = A(n)x(n) + F(n, x_n) }$. Moreover we characterize the eigenvalue intervals for ${ x(n + 1) = A(n)x(n) + λH(n)G(x_n) }$. The technique is based on a fixed point theorem in conical shells.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">235</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JIFENG CHU</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS AND EIGENVALUE INTERVALS FOR DISCRETE BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we study the existence of positive solutions and characterize the eigenvalue intervals for discrete boundary value problems. Both second order problems and pLaplacian problems are considered. The proof relies on a well-known fixed point theorem in cones.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">245</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. HENDERSON</style></author><author><style face="normal" font="default" size="100%">S. K. NTOUYAS</style></author><author><style face="normal" font="default" size="100%">I. K. PURNARAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR SYSTEMS OF SECOND ORDER FOUR-POINT NONLINEAR BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Intervals of the parameters λ and µ are determined for which there exist positive solutions of the system of four-point nonlinear boundary value problems, ${ \ u''(t)+\lambda a(t)f(v)=0,&amp;nbsp;v''(t)+\mu b(t)g(u)=0 }$, for 0 &amp;lt; t &amp;lt; 1, and satisfying, ${ \ u(0) = \alpha u(\xi),&amp;nbsp; u(1) = \beta u(\eta), v(0) = \alpha v(\xi), v(1) = \beta v(\eta) }$. A Guo-Krasnosel’skii fixed point theorem is applied&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">29</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. VASUNDHARA DEVI</style></author><author><style face="normal" font="default" size="100%">CH. SUSEELA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUASILINEARIZATION FOR FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34C12</style></keyword><keyword><style  face="normal" font="default" size="100%">34C60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we develop the method of quasilinearization for fractional differential equations when the right hand side function satisfies a condition weaker than convexity and also in the situation when it is concave.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">407</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">RIEMANN-LIOUVILLE FRACTIONAL OPIAL INEQUALITIES FOR SEVERAL FUNCTIONS WITH APPLICATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A large variety of very general ${ L_p(1 ≤ p ≤ ∞) }$ form Opial type inequalities ([15]) is presented involving Riemann-Liouville fractional derivatives ([5], [12], [13], [14]) of several functions in different orders and powers. From the established results derive several other particular results of special interest. Applications of some of these special inequalities are given in proving uniqueness of solution and in giving upper bounds to solutions of initial value fractional problems involving a very general system of several fractional differential equations. Upper bounds to various Riemann-Liouville fractional derivatives of the solutions that are involved in the above systems are given too.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">377</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">AI-LING SHI</style></author><author><style face="normal" font="default" size="100%">HAI-E ZHANG</style></author><author><style face="normal" font="default" size="100%">JIAN-PING SUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SINGULAR THIRD-ORDER m-POINT BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper is concerned with the following third-order m-point boundary value problem $${ \left\{ \begin{array} \ u′′′(t)=f(t, u (t), u′(t), u′′(t))+ e (t), \ 0 &amp;lt; t &amp;lt; 1, \\ u(0) = \sum_{i=1}^{m−2} k_iu (ξ_i), u′ (0) = u′(1) = 0, \end{array} \right.&amp;nbsp;}$$ where ${ f : (0, 1) × R^3 → R }$ is a function satisfying Carathéodory’s conditions, ${ e:(0, 1) → R \ and \ t(1 − t) e (t) ∈ L^1 [0, 1], 0 &amp;lt; ξ_1 &amp;lt; ξ_2 &amp;lt; · · · &amp;lt; ξ_{m−2} &amp;lt; 1, k_i ∈ R (i = 1, 2, . . . , m − 2) \ and }$ ${ \sum_{i=1}^{m−2} k_i \neq 1.}$ Some existence criteria of at least one solution are established by using the well-known Leray-Schauder Continuation Principle.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME BASIC RESULTS FOR FRACTIONAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper studies some existence and comparison results for initial value problems involving fractional functional integro-differential equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">467</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper studies some existence and uniqueness results in a Banach space for a fractional integro-differential equation with nonlinear condition$${ \ ^c D^q x(t) = f(t, x(t)) + \int_{0}^{t} k(t, s, x(s))ds, t \in \&amp;nbsp;&amp;nbsp;[0, T ], 0 &amp;lt; q &amp;lt; 1}$$,&amp;nbsp; $${ \ x(0) = x_0 − g(x) }$$. The contraction mapping principle and Krasnoselskii’s fixed point theorem are employed to establish the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">107</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JINHAI CHEN</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">CHRISTOPHER C. TISDELL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME RESULTS ON PERIODIC SOLUTIONS FOR EVEN ORDER DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">5</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper presents some new results for the existence of a unique 2π-periodic solution of even order differential equations. Here the assumption in [3, J. H. Chen and D. O’Regan, On periodic solutions for even order differential equations, Nonlinear Anal., (2007), doi: 10.1016/j.na.2007.06.013] that maximal solution of an initial value problem exists is removed.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">23</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V. LAKSHMIKANTHAM</style></author><author><style face="normal" font="default" size="100%">S. LEELA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY THEORY FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The theory of fractional differential equations has been recently developed and the existing fundamental results have been presented in a unified way in a research monograph [4]. This provides us with an advantage to understand and appreciate the intricacies involved so as to pave the way for further development of this important subject as an independent branch of nonlinear analysis. In a recent paper, [3] we have discussed the relation between the solutions of fractional differential equations and the solutions of ordinary differential equations. Since the properties of solutions of ODEs is relatively easier to investigate due to its well developed theory, the advantage of the relationship between the two systems is quite clear. In this paper, we shall consider multi-order fractional differential equations, develop needed mechanism of generalized spaces, utilize the method of vector Lyapunov functions and use the modified procedure discussed in [3] to study stability theory of multi-order fractional differential systems by relating them to the corresponding ordinary differential systems. We believe that the mechanism developed in this paper would be very useful to investigate further multi-order systems to obtain various other results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">459</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RAFAL KAPICA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SUBMARTINGALE CHARACTERIZATION OF BANACH LATTICES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46B40</style></keyword><keyword><style  face="normal" font="default" size="100%">46B42</style></keyword><keyword><style  face="normal" font="default" size="100%">60B11</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">5</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We propose a submartingale characterization of some Banach lattices, viz. &lt;em&gt;AL-&amp;nbsp;&lt;/em&gt;spaces and&lt;em&gt; KB-&amp;nbsp;&lt;/em&gt;spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">41</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THEORY OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper studies existence and uniqueness results in a Banach space for a three-point boundary value problem involving a fractional differential equation given by $${ ^cD^q&amp;nbsp;x(t) = f(t, x(t)), \ \ \ \&amp;nbsp; t ∈ [0, T ], \ \ \&amp;nbsp;&amp;nbsp; 0 &amp;lt; q &amp;lt; 1, }$$ $${ αx(0) + βx(T ) = γx(η), \ \ \&amp;nbsp; 0 &amp;lt; η &amp;lt; T, \ \ \ α + β \ne&amp;nbsp; γ.}$$ The contraction mapping principle and Krasnoselskii’s fixed point theorem are employed to establish the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">484</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">φ0-STABILITY OF IMPULSIVE HYBRID SETVALUED DIFFERENTIAL EQUATIONS WITH DELAY BY PERTURBING LYAPUNOV FUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study ${\varphi_0}$-stability of the null solution of impulsive set differential system with delay by means of the perturbing Lyapunov function method. Sufficient conditions for the ${\varphi_0}$- stability of the null solution of impulsive set differential equations with delay are presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">137</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF OSCILLATORY SOLUTIONS OF n-TH ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT DEPENDING ON THE UNKNOWN FUNCTION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Asymptotic Behavior of Oscillatory Solutions  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">246</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The paper deals with damped oscillations of the n-th order forced differential equation:&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;28&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;255&quot; /&gt;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">235</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">CEMIL TUNC</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On Asymptotic Stability of Solutions to Third Order Nonlinear Differential Equations with Retarded Argument</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">528</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we are concerned with the asymptotic stability of the trivial solution of third order nonlinear delay differential equations of the form&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;By constructing a Lyapunov functional, we establish some new sufficient conditions which insure that the trivial solution of this equation is the asymptotically stable. In particular, an example is given to illustrate the importance of our result.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">515</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BASIC RESULTS AND STABILITY CRITERIA FOR SET VALUED DIFFERENTIAL EQUATIONS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DIFFERENTIAL EQUATIONS ON TIME SCALES</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">428</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;We develop some basic results for set valued differential equations on time scales. Sufficient conditions for the stability of the trivial solution of set valued differential equations on time scales are also discussed.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">419</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Karima Sbihi</style></author><author><style face="normal" font="default" size="100%">Petra Wittbold</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ENTROPY SOLUTION OF A QUASILINEAR ELLIPTIC PROBLEM WITH NONLINEAR BOUNDARY CONDITION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Entropy Solution of a Quasilinear Elliptic Problem 323 In a forthcoming paper, the existence and u</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">31C15</style></keyword><keyword><style  face="normal" font="default" size="100%">35B20</style></keyword><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">47H06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">325</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we consider the equation u − div a(u, Du) = f on a bounded domain with nonlinear boundary conditions of the form −a(u, Du) · η ∈ β(x, u). We introduce a notion of entropy solution for this problem and prove existence and uniqueness of this solution for general L&lt;sup&gt;1&lt;/sup&gt; -data.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">299</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Sergiu Aizicovici</style></author><author><style face="normal" font="default" size="100%">Haewon Lee</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR NONAUTONOMOUS EVOLUTION EQUATIONS WITH NONLOCAL INITIAL CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Nonautonomous Evolution Equations</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">34G25</style></keyword><keyword><style  face="normal" font="default" size="100%">47J35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">297</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We establish the existence of integral solutions to nonlocal Cauchy problems associated with time-dependent m−accretive operators in a general Banach space.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">285</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">TADEUSZ JANKOWSKI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIRST-ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FUNCTIONAL DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">378</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Problems of existence of solutions and quasi–solutions of first order impulsive functional differential equations with nonlinear two–point boundary conditions are discussed in this paper. Also impulsive differential inequalities with positive linear operators are investigated. The results are very general and some known results can be obtained from ours as special cases. Two examples are added to illustrate the obtained results.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">359</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FOURIER SERIES AND PERIODIC SOLUTIONS OF PERIODIC LINEAR NON-HOMOGENEOUS IMPULSIVE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Fourier Series and Periodic Solutions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">268</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The purpose of the present paper is to investigate the possibility to apply Fourier series in finding the T-periodic solution &lt;img alt=&quot;&quot; height=&quot;15&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;50&quot; /&gt; of the T -periodic linear non-homogeneous impulsive equation:&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;46&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;319&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;Various problems are solved in connection with the determining of the Fourier coefficients of the solution &lt;img alt=&quot;&quot; height=&quot;15&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAATCAIAAACVwSOjAAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAADK0lEQVQ4jb1TTUjrShidxD8qgmglKnahUBDSXaj4Byq6KlItCoJQEcSFoLhSFy5cCV24UBRcKG5EEQR/8BdEcCExtYoUilRsRRdNVayaxiiGNPneIty83NzW630X3lnNnO/MnJk532AAgP4OkUgkKysLISSKosViSSXD/t7pm8D/H5v/7nR/f5+Uj0aj33JSFGVxcbGlpcXpdK6vr6sPy7Jsb2+vJEmabHR09PDwMOl2Ho9nZ2cnuRX8gCAILpdrfHzc7/evra1RFFVeXl5XV9fY2BgMBjXZ3NxcT08P6MBx3M3NjTr++Piorq6+vLyEX/CvkyzL4XBYmyqKEgwG7+7u9OqnpyeLxfL6+qon3W53Z2enNt3d3a2vr1cUJaXTdzAxMdHX16dnZFk2m80zMzP6I1qt1kAgYFibpCN4nt/f349GowBA07TP54MfP2Fzc7O5uVkdy7IcCAS2traen5/NZvPt7a3KYxjW1NS0sbHxVUcghC4uLgYHB+PxOEVR3d3dDMM4nc7JyUmE0MvLy8nJid1uV5WPj4/z8/Mejyc3N5em6dXVVW2TysrK7e3tlB2hXtztdkuSBAAkSba1tQmCUFNTc3R0BAB+vz8tLc0QQEdHR3t7u+Gh9vb2CIL4Kqe3tzeGYQCA4zgMwxYWFvTVg4ODvLw8w8mKior0IalgGAbH8UQikTKnnJycqqoqhJDX6wWAhoYGfTUzM1NRFD0TDocfHh4MMjXC9PR0HP9pc2NOiUQCIUTTdGFhYVlZGUJoaWlJ/bYEQfA8rzc7Pj4uKCggSfL9/V2fUzweJwgCw7CUTrOzsyUlJZIkrayskCSJYVgsFjs9Pc3IyEAIlZaWmkymUCik6c/Pz+12O47jU1NTVqtV40OhkM1mM9zhJycAyM7O7urqGhkZ4Xl+aGhoeHh4bGxMrZpMJofDcXZ2pulbW1tZlh0YGCguLqYoSuN9Pp/L5TI4GX8ux3EcxwGAKIqRSMRQXV5edjgceiYWiwmCYGir/Px8lmW/6r3fQhRFm812dXX1hWZ6erq/v/9X/s+cAMDr9dbW1n5+fiatXl9fV1RUqK9iwD8uWLGfnwcSbgAAAABJRU5ErkJggg==&quot; width=&quot;28&quot; /&gt; and with the representation of this solution by Fourier series having a good convergence in the whole interval [0, T ].&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">255</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRACTIONAL MULTIVARIATE OPIAL TYPE INEQUALITIES OVER SPHERICAL SHELLS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Fractional Multivariate Opial Type Inequalities</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">233</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;Here is introduced the concept of multivariate fractional differentiation especially of the fractional radial differentiation, by extending the univariate definition of Canavati [11]. Then we produce Opial type nequalities over compact and convex subsets of R&lt;sup&gt;N&lt;/sup&gt;, N ≥ 2, mainly over spherical shells, studying the problem in all possibilities. Our results involve one, or two, or more functions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">201</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">JUAN J. NIETO</style></author><author><style face="normal" font="default" size="100%">ABDELGHANI OUAHAB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FUZZY SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FUZZY SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">394</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, a fixed point theorem for absolute retract is used to investigate the existence of fuzzy solutions for first and second order impulsive ordinary differential equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">379</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Jun-ichi Segata</style></author><author><style face="normal" font="default" size="100%">Akihiro Shimomura</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FOURTH ORDER  ̈ NONLINEAR SCHR ODINGER TYPE EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Global Existence and Asymptotic Behavior</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">188</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We study the global existence and asymptotic behavior in time of solutions to the fourth order nonlinear Schrodinger type equation in one space dimension. The nonlinear interaction is the power type interaction with degree three, and it is a summation of a gauge invariant term and non-gauge-invariant terms. We prove the existence of modified wave operators for this equation with small final states. Here the modification of wave operator is only derived from the gauge invariant nonlinearity.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">169</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">TANYA G. MELTON</style></author><author><style face="normal" font="default" size="100%">A. S. VATSALA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HIGHER ORDER OF CONVERGENCE VIA GENERALIZED QUASILINEARIZATION METHOD FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">HIGHER ORDER OF CONVERGENCE</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword><keyword><style  face="normal" font="default" size="100%">35K60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">418</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The method of quasilinearization has been generalized so that it is applicable to a wide variety of nonlinear problems. This is known as Generalized Quasulinearization Method (GQM method for short). It has all the advantages of the quasilinearization method such as linear iterates and quadratic convergence. Also it has been developed with a weaker condition than asking for the convexity or concavity of the original qasilineaization method. In this work we will focus on the mathematical models which leads to nonlinear parabolic integro-differential equations. These mathematical models are motivated by population models in biology and the Hodgkin-Huxley model in medicine. We consider the situation when the component functions f (t, x, u) and g(t, x, u) of the orcing function satisfy the following conditions: i) &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt; and&amp;nbsp;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt; exist and they are nondecreasing in u for m &amp;gt; 2; ii)&amp;nbsp;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt; and&amp;nbsp;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt; are onesided Lipschitzian with respect the unique solution with the rate of convergence m. The earlier known results on cubic and quadrtic convergence can be obtained as special cases of our current result. A numerical example is presented as an application of our theoretical result. This result is a generalization of GQM method to obtain higher order of convergence for nonlinear parabolic integro-differential equations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">403</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Fernanda Botelho</style></author><author><style face="normal" font="default" size="100%">James E. Jamison</style></author><author><style face="normal" font="default" size="100%">Julie A. Murdock</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">KERNELS OF AN INTEGRO-DIFFERENTIAL EQUATION FROM AN INITIAL PULSE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Kernels of an Integro-Differential Equation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">337</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider an integro-differential equation, proposed in the literature as a model of neuronal activity. We establish conditions under which an initial activity function exhibiting localized pattern formation completely characterizes the system. We also investigate how such an initial activity determines more complicated pattern formations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">327</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Alexander I. Abakumov</style></author><author><style face="normal" font="default" size="100%">Eugenia E. Giricheva</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MATHEMATICAL MODEL OF OPTIMUM DISTRIBUTION OF POPULATION INCOMES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Mathematical Model of Optimum Distribution</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49K15</style></keyword><keyword><style  face="normal" font="default" size="100%">93A30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">283</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;It is considered the model of the population dynamics in a region under business influence. The people income include a salary and some social payments. This income is distributed on the people: babies, young people, working people and old people. The birth rate and the survive rate depend on the income. The salary of the working people is determined based on maximization of the next year production. The model describes the demographic and economical systems in two variants. The first variant represent the equilibrium state, the second variant describes the system in dynamics. The computations demonstrate that the model is able to estimate the demography within region depending on economic activity.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">269</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIVARIATE FRACTIONAL TAYLOR’S FORMULA</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Multivariate Fractional Taylor’s Formula</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">199</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Here is established a multivariate fractional Taylor’s formula using a suitable definition of fractional derivative. As related results we present that the order of fractional-ordinary partial differentiation is immaterial, we discuss fractional integration by parts, and we estimate the remainder of our multivariate fractional Taylor’s formula.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">189</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. H. SAKER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA OF HILLE AND NEHARI TYPES FOR THIRD-ORDER DELAY DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">THIRD ORDER DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10.</style></keyword><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">468</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The objective of this paper is to systematically study oscillation and asymptotic behavior of the third order-nonlinear delay differential equation&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;27&quot; src=&quot;data:image/png;base64,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width=&quot;378&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;where q(t) is a positive function, γ &amp;gt; 0 is a quotient of odd positive integers and the delay function τ (t) ≤ t satisfies lim&lt;sub&gt;t→∞&lt;/sub&gt; τ (t) = ∞. We establish some sufficient conditions of Hille and Nehari types, which ensure that (∗) is oscillatory or the solutions converge to zero. Our results in the nondelay case extend and improve some known results in the literature and in the delay case the results can be applied to new classes of equations which are not covered by the known criteria. Some examples are considered to illustrate the main results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">451</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BARNABAS BEDE</style></author><author><style face="normal" font="default" size="100%">T. GNANA BHASKAR</style></author><author><style face="normal" font="default" size="100%">V. LAKSHMIKANTHAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERSPECTIVES OF FUZZY INITIAL VALUE PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FUZZY INITIAL VALUE PROBLEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">fuzzy differential equations</style></keyword><keyword><style  face="normal" font="default" size="100%">modeling under uncertainty</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">358</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Recently it is proposed that the behavior of the solutions of fuzzy differential equations (FDEs) could be tamed by a suitable forcing term. In this context a case has been made that FDEs need to be investigated as a separate discipline instead of treating them as fuzzy analogues of crisp counterparts. Here in this paper, we support this argument also by showing how different formulations of a fuzzy differential equation can lead to solutions with different behaviors, adding richness to the theory of FDEs. For this aim we use the notions of Hukuhara differential, generalized differentiability, differential inclusions and the interpretation of FDEs by using Zadeh’s extension principle on the classical solution. We also point out several possible research directions in the study of FDEs.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">339</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ABDELKADER BELARBI</style></author><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">SAMIRA HAMANI</style></author><author><style face="normal" font="default" size="100%">SOTIRIS K. NTOUYAS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">PERTURBED FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A33</style></keyword><keyword><style  face="normal" font="default" size="100%">34K05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">440</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;In this paper, we shall establish sufficient conditions for the existence of solutions, as well as extremal solutions, for perturbed fractional functional differential equations.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">429</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOHAMED ABDALLA DARWISH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOLVABILITY OF SOME QUADRATIC FUNCTIONAL-INTEGRAL EQUATION IN BANACH ALGEBRA</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ON SOLVABILITY OF SOME QUADRATIC FUNCTIONAL-INTEGRAL EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45G10</style></keyword><keyword><style  face="normal" font="default" size="100%">45M99</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">450</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Using the technique of a suitable measure of noncompactness in Banach algebra, we prove an existence theorem for some functional-integral equations which contains as particular cases a lot of integral and functional-integral equations that arise in many branches of nonlinear analysis and its applications. Also, the famous Chandrasekhar’s integral equation is considered as a special case.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">441</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kyeongpyo Choi</style></author><author><style face="normal" font="default" size="100%">Q-Heung Choi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOURCE TERMS AND MULTIPLICITY OF SOLUTIONS IN A NONLINEAR ELLIPTIC EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Source Terms and Multiplicity of Solutions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B10</style></keyword><keyword><style  face="normal" font="default" size="100%">35J20</style></keyword><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">154</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We are concerned with the multiplicity of solutions of a nonlinear elliptic equation. We investigate relations between the multiplicity of solutions and source terms in the Dirichlet problem.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">143</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FAZAR-UR-REHMAN</style></author><author><style face="normal" font="default" size="100%">M.M. Ahmed</style></author><author><style face="normal" font="default" size="100%">S.A. Moiz</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Steering Algorithm for Drift Free Control Systems</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">DRIFT FREE CONTOL SYSTEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34.K25</style></keyword><keyword><style  face="normal" font="default" size="100%">34B 15</style></keyword><keyword><style  face="normal" font="default" size="100%">34KlO</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">514</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;This paper presents a simple steering algorithm for nonholonomic control systems without drift. The effectiveness of the algorithm is tested on four different nonholonomic control systems: a spacecraft, a front wheel drive car, a fire truck model, and a model of mobile robot with trailer. The controllability Lie Algebra of the spacecraft model contains Lie bracket of depth one while the model of a front wheel drive car and a rue truck model contain Lie brackets of depth one and two. The controllability Lie Algebra of the model of mobile robot with trailer contains Lie brackets of depth one, two, and three. The feedback controls are piecewise constant, states dependent and the method is based on the construction of a cost function V which is sum of the two semi positive definite functions V&lt;sub&gt;I&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt;, where VI consists of the function of the first m state variables which can be steered along the given vector fields and V&lt;sub&gt;2&lt;/sub&gt; is the function of the remaining n - m state variables which can be steered along the missing Lie brackets. The values of the functions V&lt;sub&gt;I&lt;/sub&gt; and V&lt;sub&gt;2&lt;/sub&gt; allow in determining a desired direction of system motion and permit to construct a sequence of controls such that the sum of these functions decreases in an average sense. This approach does not necessitate the conversion of the system model into a &quot;chained form&quot;, and thus does not rely on any special transformation techniques.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">485</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ROGER D. KIRBY</style></author><author><style face="normal" font="default" size="100%">A. G. LADDE</style></author><author><style face="normal" font="default" size="100%">G. S. LADDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STOCHASTIC LAPLACE TRANSFORM WITH APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">LAPLACE TRANSFORM</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">392</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this work, by reviewing the integration by parts method, we present the development of a theory of Laplace transforms in the context of the Ito–Doob type of stochastic calculus. The resulting table of transforms has been initiated.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">373</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MIROSLAV BARTUSEK</style></author><author><style face="normal" font="default" size="100%">John R. Graef</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STRONG NONLINEAR LIMIT-POINT/LIMIT-CIRCLE PROPERTIES FOR A CLASS OF FOURTH ORDER EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FOURTH ORDER EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B20</style></keyword><keyword><style  face="normal" font="default" size="100%">34C11</style></keyword><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword><keyword><style  face="normal" font="default" size="100%">34D05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">484</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The authors consider the nonlinear fourth order differential equation with p-Laplacian&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;30&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;436&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;where p &amp;gt; 0, λ &amp;gt; 0, a(t) &amp;gt; 0, and r(t) &amp;gt; 0. Asymptotic properties of solutions are studied including the nonlinear limit-point/limit-circle and the strong nonlinear limit-point/limit-circle properties. Examples illustrating the results are also included.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">469</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. Dishliev</style></author><author><style face="normal" font="default" size="100%">N. Markova</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SUFFICIENT CONDITIONS FOR OSCILLATION OF THE SOLUTIONS OF IMPULSIVE LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Sufficient Conditions for Oscillation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">253</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;In the present paper, linear homogeneous differential equations with impulsive effects and retarded&amp;nbsp; argument are investigated. The impulsive influences are realised in the moments where the integral curve of the equation intersects preliminary given curves in the equation’s expanded phase space. The sufficient conditions for oscillation of the solutions of such equations are found.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">247</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V. LAKSHMIKANTHAM</style></author><author><style face="normal" font="default" size="100%">A. S. VATSALA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL DIFFERENTIAL INEQUALITIES</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</style></keyword><keyword><style  face="normal" font="default" size="100%">34A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">402</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we develop the theory of fractional differential inequalities involving Riemann-Loiuville differential operators of order 0 &amp;lt; q &amp;lt; 1, use it for the existence of extremal solutions and global existence. Necessary tools are discussed and the comparison principle is proved which will be useful for further study of qualitative behavior of solutions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">395</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Xuezhang Hou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">VARIABLE STRUCTURE CONTROL OF INFINITE DIMENSIONAL SYSTEMS WITH APPLICATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B35</style></keyword><keyword><style  face="normal" font="default" size="100%">93C20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The variable structure control problem of distributed parameter system is investigated with frequent domain approach in this paper. Under the conditions more general than in Orlov and Utkin [11] and Yueming and Qijie [18], an equivalent control theorem is proposed and proved. Finally, we apply the equivalent control theorem to a heat system and a robot system so that both the heat and robot systems are exponentially stable under the variable structure control.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Xuezhang Hou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">VARIABLE STRUCTURE CONTROL OF INFINITE DIMENSIONAL SYSTEMS WITH APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Variable Structure Control</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B35</style></keyword><keyword><style  face="normal" font="default" size="100%">93C20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/11/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">11</style></volume><pages><style face="normal" font="default" size="100%">167</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The variable structure control problem of distributed parameter system is investigated with frequent domain approach in this paper. Under the conditions more general than in Orlov and Utkin [11] and Yueming and Qijie [18], an equivalent control theorem is proposed and proved. Finally, we apply the equivalent control theorem to a heat system and a robot system so that both the heat and robot systems are exponentially stable under the variable structure control.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">155</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cristiana J. Silva</style></author><author><style face="normal" font="default" size="100%">Delfim F.M. Torres</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ABSOLUTE EXTREMA OF INVARIANT OPTIMAL CONTROL PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Absolute Extrema</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J15</style></keyword><keyword><style  face="normal" font="default" size="100%">49M30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">529</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Optimal control problems are usually addressed with the help of the famous Pontryagin Maximum Principle (PMP) which gives a generalization of the classical Euler-Lagrange and Weierstrass necessary optimality conditions of the calculus of variations. Success in applying the PMP permits to obtain candidates for a local minimum. In 1967 a direct method, which permits to obtain global minimizers directly, without using necessary conditions, was introduced by Leitmann. Leitmann’s approach is connected, as showed by Carlson in 2002, with “Carath ́eodory’s royal road of the calculus of variations”. Here we propose a related but different direct approach to problems of the calculus of variations and optimal control, which permit to obtain global minima directly, without recourse to needle variations and necessary conditions. Our method is inspired by the classical Noether’s Theorem and its recent extensions to optimal control. We make use of the variational symmetries of the problem, considering parameter-invariance transformations and substituting the original problem by a parameter-family of optimal control problems. Parameters are then fixed in order to make the problem trivial, in some sense. Finally, by applying the inverse of the chosen invariance-transformation, we get the global minimizer for the original problem. The proposed method is illustrated, by solving concrete problems, and compared with Leitmann’s approach.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">517</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Huizeng Qin</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Youmin Lu</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC EXPRESSION AND A SUFFICIENT CONDITION ON THE OSCILLATING SOLUTIONS EQUATION TO THE GENERAL SECOND PAINLEV E</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">General Second Painlev ́e Equation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35E99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">283</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the general second Painlev ́e equation and find a sufficient condition for its solutions to be oscillating and the corresponding asymptotic expression as its independent variable x approaches negative infinity by using the uniform asymptotics and the monodromic data methods.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">271</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T.E. Govindan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC STABILITY OF MILD SOLUTIONS OF STOCHASTIC EVOLUTION EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Asymptotic Stability of Mild Solutions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K50</style></keyword><keyword><style  face="normal" font="default" size="100%">60H20</style></keyword><keyword><style  face="normal" font="default" size="100%">93E15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">360</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the existence and stability problems associated with stochastic evolution equations in Hilbert spaces. To be precise, we first consider an existence result for a mild solution and then the exponential stability of the moments of such solutions and also of its sample paths. Such results are established employing the theory of a stochastic convolution integral and a comparison principle under less restrictive hypothesis than the Lipschitz condition on the nonlinear terms. Moreover, we consider asymptotic stability in probability of the sample paths of the solution process. The results obtained here generalize the corresponding main results from Taniguchi [18] and also the classical results of Ichikawa [7, 8] all established under the Lipschitz hypothesis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">345</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A.B. Dishliev</style></author><author><style face="normal" font="default" size="100%">K.G. Dishlieva</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF DIFFERENTIAL EQUATIONS UNDER “SHORT” PERTURBATIONS ON THE RIGHT-HAND SIDE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D10</style></keyword><keyword><style  face="normal" font="default" size="100%">92C05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In the present paper we introduce the phenomenon “continuous dependence of the solutions of differential equations under “short” perturbations on the right-hand side”, or equivalent simple name of phenomenon “h-continuity”. We obtain some sufficient conditions for h-continuous dependence of solutions of non-linear differential equations. The results are applied to Schmalhausen’s mathematical model for evolution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">149</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chen-Huang Hong</style></author><author><style face="normal" font="default" size="100%">Cheh-Chih Yeh</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONVERSE ROGERS-H OLDER’S INEQUALITY ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Converse Rogers-H ̈older’s Inequality</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">26D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">406</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Converse Rogers-Holder’s inequalities are established on time scales by using elementary method.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">397</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Fernanda Botelho</style></author><author><style face="normal" font="default" size="100%">James E. Jamison</style></author><author><style face="normal" font="default" size="100%">J. Angela Murdock</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DYNAMICAL STRUCTURES EMERGING IN HIGHER ORDER NONLINEAR SYSTEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The polar decomposition is used to analyze a class of canonical models of differential equations over the quaternions. A spectrum of oscillatory behaviors can be observed and techniques to detect directional changes of oscillations are derived. A classification of transient oscillatory behaviors encountered is also presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">43</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Tzvetan D. Hristov</style></author><author><style face="normal" font="default" size="100%">Nedyu I. Popivanov</style></author><author><style face="normal" font="default" size="100%">Manfred Schneider</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ESTIMATES OF SINGULAR SOLUTIONS OF PROTTER’S PROBLEM FOR THE 3-D HYPERBOLIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35A20</style></keyword><keyword><style  face="normal" font="default" size="100%">35D05</style></keyword><keyword><style  face="normal" font="default" size="100%">35L05</style></keyword><keyword><style  face="normal" font="default" size="100%">35L20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;For 3-D wave equation M. Protter formulated (1952) some boundary value problems (BVP) which are three-dimensional analogues of the Darboux problems on the plane. Protter studied these problems in a 3-D domain ${ Ω_0}$, bounded by two characteristic cones ${Σ_1}$ and ${Σ_{2,0} }$, and by a plane region ${Σ_0}$. Now, 50 years later, it is well known that, for an infinite number of smooth functions in the right-hand side, these problems do not have classical solutions. The reason of this fact had been discovered in the early 90-ties: the strong power-type singularity appears in the generalized solution on the characteristic cone ${Σ_{2,0} }$. In the present paper we consider the case of the wave equation involving lower order terms and obtain some a priori estimates for the singular solutions of the third BVP. It is a strong power type singularity at the vertex ${O}$ of the characteristic cone ${ Σ_{2,0} }$, which is isolated and does not propagate along the cone.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">223</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Noriaki Umeda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS OF A WEAKLY COUPLED SYSTEM OF REACTION-DIFFUSION EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K55</style></keyword><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We consider the weakly coupled system of reaction-diffusion equation${&amp;nbsp; (u_i)_t = ∆u_i + |x|^{σi}u^{p_i}_{i+1}. }$We have the results of condition of the nonlinear terms and the initial data for the solutions blowing up in finite time or existing in time global.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">57</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John Schmeelk</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FRAMES AND WAVELET TRANSFORMS ON TWO-DIMENSIONAL IMAGES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The notion of frames is introduced in Hilbert Spaces. Wavelet analysis together with a brief description for the stability of images is introduced using wavelet transforms. The “control” is measured by the notion of a frame. Two wavelet transform examples are then presented and illustrated on a two dimensional image.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">29</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S.M. Kaber</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE GIBBS PHENOMENON FOR JACOBI EXPANSIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65D10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The selection of the “best” Jacobi approximation of discontinuous functions is addressed. The selection criteria is the decreasing of the Gibbs constant and the increasing of the steepness.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">133</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HIGHER ORDER FUZZY KOROVKIN THEORY VIA INEQUALITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Higher Order Fuzzy Theory</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26E50</style></keyword><keyword><style  face="normal" font="default" size="100%">28E10</style></keyword><keyword><style  face="normal" font="default" size="100%">41A17</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">47S40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">395</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Here is studied with rates the fuzzy uniform and L p , p ≥ 1, convergence of a sequence of fuzzy positive linear operators to the fuzzy unit operator acting on spaces of fuzzy differentiable functions. This is done quantitatively via fuzzy Korovkin type inequalities involving the fuzzy modulus of continuity of a fuzzy derivative of the engaged function. From there we deduce general fuzzy Korovkin type theorems with high rate of convergence. The surprising fact is that basic real positive linear operator simple assumptions enforce here the fuzzy convergences. At the end we give applications. Our results are univariate and multivariate. The assumptions are minimal and natural fulfilled by almost all example—fuzzy positive linear operators.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">361</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">George A. Anastassiou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HIGHER ORDER FUZZY KOROVKIN THEORY VIA INEQUALITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Fuzzy Korovkin Theory</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26E50</style></keyword><keyword><style  face="normal" font="default" size="100%">28E10</style></keyword><keyword><style  face="normal" font="default" size="100%">41A17</style></keyword><keyword><style  face="normal" font="default" size="100%">41A25</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">47S40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">503</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Here is studied with rates the fuzzy uniform and L p , p ≥ 1, convergence of a sequence of fuzzy positive linear operators to the fuzzy unit operator acting on spaces of fuzzy differentiable functions. This is done quantitatively via fuzzy Korovkin type inequalities involving the fuzzy modulus of continuity of a fuzzy derivative of the engaged function. From there we deduce general fuzzy Korovkin type theorems with high rate of convergence. The surprising fact is that basic real positive linear operator simple assumptions enforce here the fuzzy convergences. At the end we give applications. Our results are univariate and multivariate. The assumptions are minimal and natural fulfilled by almost all example – fuzzy positive linear&lt;br /&gt;
operators.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">469</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Duane A. Cooper</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN IMPROVED BOUND FOR LEARNING LIPSCHITZ FUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26A16</style></keyword><keyword><style  face="normal" font="default" size="100%">68T05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Revisited here is the problem of learning a nonlinear mapping with uncountable domain and range. The learning model used is that of piecewise linear interpolation on random samples from the domain. More specifically, a network learns a function by approximating its value, typically within some small ǫ, when presented an arbitrary element of the domain. For &lt;em&gt;reliable&lt;/em&gt; learning, the network should accurately return the function’s value with high probability, typically higher than${1 − δ }$ for some small ${ δ }$. With new analytic results, we show that, given ǫ and δ and an arbitrary Lipschitz function ${ f : [0, 1]^k → \mathbb{R}, }$ $${ m ≥ (2M √ k)^k · \left( \frac{1}{\epsilon} \right)^k · (k \ ln 2M √ k + k \ ln \frac{1}{\epsilon} + ln \frac{1}{δ}) }$$samples from the uniform distribution on ${ [0, 1]^k }$ are sufficient to reliably learn ${ f}$. The Delaunay triangulation technique is applied in order to keep simplex sizes small. The sufficient condition is an improvement of approximately ${ \left(\frac{2}{3} \right)^k }$ over the previously known upper bound.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">19</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D.D. Bainov</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">IMPULSIVE INTEGRAL INEQUALITIES WITH DELAY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The paper considers impulsive integral inequalities used in studying impulsive differential equations with retarded arguments.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">125</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">B.C. Dhage</style></author><author><style face="normal" font="default" size="100%">John R. Graef</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MONOTONE TECHNIQUE FOR FIRST ORDER DISCONTINUOUS FUNCTIONAL DIFFERENTIAL INCLUSIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Monotone Technique for Differential Inclusions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">416</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, an existence theorem for first order ordinary functional differential inclusions is proved without assuming the continuity of the multi-functions on the right hand side. Sufficient conditions for the existence of a minimal solution and a maximal solution are also proved.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">407</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Xiaojie Lin</style></author><author><style face="normal" font="default" size="100%">Zengji Du</style></author><author><style face="normal" font="default" size="100%">Weigao Ge</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE POSITIVE SOLUTIONS FOR A SINGULAR BOUNDARY VALUE PROBLEM ON INFINITE INTERVALS AT RESONANCE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish the existence result of multiple positive solutions for a second-order singular boundary value problem on infinite intervals at resonance case. The tool we mainly used is the fixed point theorem due to Leggett-Williams.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">177</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. Diblık</style></author><author><style face="normal" font="default" size="100%">J. Bastinec</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPOINT SINGULAR BOUNDARY-VALUE PROBLEM FOR SYSTEM OF SEMILINEAR DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Multipoint Singular Boundary-Value Problem</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">438</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A singular Cauchy-Nicoletti problem for system of ordinary differential equations is considered. An approach which combines topological method of T. Wazewski and Schauder’s principle is used. A theorem concerning the existence of a solution of this problem (a graph of which lies in a given domain) is proved. Moreover, estimations of its coordinates are obtained.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">421</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">B. Lehnert</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NON-EXISTENCE OF PHOTON SPIN IN CONVENTIONAL THEORY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">78A25</style></keyword><keyword><style  face="normal" font="default" size="100%">78A40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Maxwell’s equations have been used as a guideline in conventional quantum electrodynamics. Also the related Poynting vector has thereby formed the basis for the quantized field momentum. In this letter the conventional theory is applied to the model of a unidirectionally propagating photon, as described in a cylindrical frame of reference. Due to the vanishing electric field divergence of Maxwell’s equations in the vacuum, the photon field is then found to be purely transverse, having a Poynting vector and energy flow in the axial direction of propagation only, and leading to the unacceptable result of a nonexisting angular momentum (spin). One possible way of avoiding this shortcoming is provided by a revised electromagnetic theory which includes the additional degree of freedom of a nonzero electric field divergence in the vacuum state.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">79</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONOSCILLATORY SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENTS DEPENDING ON THE UNKNOWN FUNCTION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Nonoscillatory Solution  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">450</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The neutral differential equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; 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&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;is considered, where &lt;img alt=&quot;&quot; height=&quot;22&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;335&quot; /&gt; &lt;img alt=&quot;&quot; height=&quot;23&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;216&quot; /&gt;and &lt;img alt=&quot;&quot; height=&quot;23&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;152&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;It is shown that equation (*) has a nonoscillatory solution, if p = −1 and&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">439</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">R. Ciarski</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NUMERICAL METHODS FOR QUASILINEAR PARABOLIC DIFFERENTIAL FUNCTIONAL EQUATIONS WITH NEUMANN INITIAL BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Numerical Methods for Quasilinear Parabolic Equations</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35R10</style></keyword><keyword><style  face="normal" font="default" size="100%">65M12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">329</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type and coefficients satisfying Perron estimates. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on local properties of the coefficients of the differential equation. A numerical example is given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">313</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Karel Zimmermann</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ONE CLASS OF SEPARABLE SYNCHRONIZATION PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">One Separable Synchronization Problems</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B26</style></keyword><keyword><style  face="normal" font="default" size="100%">90B35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">571</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">563</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION CRITERIA FOR FIRST ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper some new oscillation criteria are obtained for the first order nonlinear differential equation $${ x′ (t) = \sum^{n}_{i=1} p_i(t)f_i(x(σ_0(t)), . . . , x(σ_m(t))), \ \ \ \ \ t ≥ α }$$ with advanced arguments, where ${n ≥ 1, \ m ≥ 1 }$are integers, ${ p_i(t) ≥ 0, \&amp;nbsp; σ_j (t) ≥ t }$ and ${ x_0f_i(x_0, . . . , x_m) &amp;gt; 0 }$ for ${ t ≥ α, \ x_0x_j &amp;gt; 0, \ \&amp;nbsp; i = 1, . . . , n, \ \ j = 0, . . . , m.}$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">209</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Peiguang Wang</style></author><author><style face="normal" font="default" size="100%">Jing Zhang</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATORY CRITERIA FOR EVEN ORDER HALF-LINEAR NEUTRAL EQUATION WITH DISTRIBUTED DEVIATING ARGUMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Oscillatory Criteria for Neutral Equation</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">344</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we investigate a class of even order half-linear neutral differential equation with distributed deviating arguments, and obtain some oscillatory criteria for the equation by employing the generalized Riccati technique and the integral averaging technique.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">331</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATORY PROPERTIES OF SOLUTIONS OF n-TH ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS DEPENDING ON THE UNKNOWN FUNCTION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Oscillatory Properties of Solutions  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">467</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper differential equation of the type&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;61&quot; 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&quot; width=&quot;483&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;is considered, where &lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;85&quot; /&gt;&amp;nbsp;and the deviating arguments&amp;nbsp; ∆j , j = 1, . . . , m depend on the independent variable t as well as on the unknown unction x. Sufficient conditions are found under which equation (E) is almost oscillatory.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">451</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Alexander J. Zaslavski</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A POROSITY RESULT FOR A SADDLE POINT PROBLEM</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Saddle Point Problem  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J35</style></keyword><keyword><style  face="normal" font="default" size="100%">54E52</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">17</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider a complete metric space &lt;strong&gt;M&lt;/strong&gt; of functionsf : X × Y → R&lt;sup&gt;1&lt;/sup&gt;&amp;nbsp; &amp;nbsp;which satisfy ${ sup_{y∈Y} inf_{x∈X} f (x, y) = inf_{x∈X} sup_{y∈Y} f (x, y), }$ where ${X}$ and ${Y}$ are complete metric spaces. We establish that the set of all functions from &lt;strong&gt;M&lt;/strong&gt; which have a unique saddle point has a σ-porous complement.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">9</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Alexander J. Zaslavski</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A POROSITY RESULT FOR VARIATIONAL PROBLEMS ARISING IN CRYSTALLOGRAPHY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A Porosity Result for Variational Problems</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J99</style></keyword><keyword><style  face="normal" font="default" size="100%">74E15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">562</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we study the structure of minimizers of variational problems which describe step-terraces on surfaces of crystals.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">551</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">JIFENG CHU</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS FOR REGULAR AND SINGULAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;By applying well-known fixed point theorems in cones, we study the existence of positive solutions for fourth-order boundary value problem ${ x^{(4)} (t) + βx′′(t) = f(t, x), \ \ 0 &amp;lt; t &amp;lt; 1}$&amp;nbsp;&amp;nbsp;with ${ x(0) = x(1) = x ′′(0) = x ′′(1) = 0,}$ where ${ 0 &amp;lt; β &amp;lt; π^2 }$. We discuss both the singular case and the regular case.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">185</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V.N. Malozemov</style></author><author><style face="normal" font="default" size="100%">K.Yu. Tsvetkov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A SAMPLING THEOREM IN VILENKIN–CHRESTENSON BASIS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">42C10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The following assertion is proved: if the high-frequency coefficients in the expansion of a discrete signal ${x}$ over Vilenkin–Chrestenson basis are equal to zero then the signal ${x}$ is a step-function.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">201</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">B.C. Dhage</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SECOND ORDER CARATHEODORY AND  DISCONTINUOUS DIFFERENTIAL EQUATIONS IN BANACH ALGEBRAS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper an existence theorem for the second order differential equations in Banach algebras is proved under the mixed generalized Lipschitz and Carath´eodory conditions. The existence of extremal solutions is also proved under certain monotonicity conditions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">161</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Isabel Simão</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SMOOTHNESS OF THE TRANSITION DENSITIES CORRESPONDING TO CERTAIN STOCHASTIC EQUATIONS ON A HILBERT SPACE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60H15</style></keyword><keyword><style  face="normal" font="default" size="100%">60J35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the transition semigroup determined by a stochastic semilinear equation, where the nonlinear part of the drift is the gradient of a function. Under suitable conditions, we prove that the kernel of this semigroup,${ p_t(x, y) }$, studied in [Simão, Semigroup Forum, 71 (2005), no. 1, 49-72], is continuously differentiable on&amp;nbsp; ${ H × H }$ and we give formulae for the derivatives of the functions ${ p_t(·, y)}$&amp;nbsp; and ${ p_t(x, ·).}$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">253</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Andrzej Stachurski</style></author><author><style face="normal" font="default" size="100%">Marek Lechman</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOLVING A SET OF NONLINEAR EQUATIONS FOR THE DETERMINATION OF STRESSES IN RC RING SECTIONS WITH OPENINGS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Nonlinear Equations for the Determination of Stresses</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">74B20</style></keyword><keyword><style  face="normal" font="default" size="100%">74C15</style></keyword><keyword><style  face="normal" font="default" size="100%">74S30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">550</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The paper deals with the analytical model for the normal stresses in the reinforced concrete (RC) ring cross sections weakened by openings. The aim of the paper is to compare numerically the least squares approach with a direct method for solving sets of nonlinear equations forming the model.&lt;br /&gt;
In the least squares approach the resulting optimization problem is to minimize the sums of the second powers of the residuals of the equations. The feasible points area is represented by the box constraints following from the physical sense of the variables. The resulting minimization problems are solved by means of the BFGS quasi-Newton and/or Hooke-Jeeves local minimizers suitably modified to take into account the box constraints.&lt;br /&gt;
The Broyden quasi-Newton method was implemented and tested in the direct approach to solve the sets of nonlinear equations. It uses an approximation of the Jacobi matrix inverse at each iteration to generate the consecutive point.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">531</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Cheh-Chih Yeh</style></author><author><style face="normal" font="default" size="100%">Fu-Hsiang Wong</style></author><author><style face="normal" font="default" size="100%">Shiueh-Ling Yu</style></author><author><style face="normal" font="default" size="100%">Wei-Cheng Lian</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME INEQUALITIES ON TIME SCALES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26B25</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we establish the Steffensen, Hardy, Gr¨uss and Centroidal inequalities on time scales.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">97</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Pierre-Louis Lions</style></author><author><style face="normal" font="default" size="100%">Marek Musiela</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME PROPERTIES OF DIFFUSION PROCESSES WITH SINGULAR COEFFICIENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Some Properties of Diffusion Processes  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">58G32</style></keyword><keyword><style  face="normal" font="default" size="100%">60J60</style></keyword><keyword><style  face="normal" font="default" size="100%">60J70</style></keyword><keyword><style  face="normal" font="default" size="100%">62P05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">126</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">109</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Ivanka M. Stamova</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE STABILITY OF AN IMPULSIVE DIFFERENTIAL DIFFERENCE POPULATION MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Differential Difference Population Model</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K45</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">07/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">291</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Sufficient conditions are obtained for the various types of uniform stability of the zero solution of population system modelled by an impulsive differential-difference equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">285</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">L. Consiglieri</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STEADY-STATE THERMAL VISCOUS INCOMPRESSIBLE FLOWS WITH CONVECTIVE-RADIATIVE EFFECTS AND A NONLOCAL COULOMB FRICTION LAW</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Steady-State Thermal Viscous Incompressible Flows</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35D05</style></keyword><keyword><style  face="normal" font="default" size="100%">35J55</style></keyword><keyword><style  face="normal" font="default" size="100%">49J40</style></keyword><keyword><style  face="normal" font="default" size="100%">74M10</style></keyword><keyword><style  face="normal" font="default" size="100%">76A05</style></keyword><keyword><style  face="normal" font="default" size="100%">80A20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">516</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We deal with a coupled system of elliptic motion and energy equations motivated by the thermal flow of a class of non-Newtonian fluids. A nonlocal Coulomb friction condition on a part of the liquid-solid boundary is taken into account. On this part of the boundary it is also considered a convective-radiative heat transfer related to the frictional work. The existence of a weak solution constitutes the main result of the present work which proof is based on a fixed point argument for multivalued mappings. The nonlinear boundary conditions as well as the energy dependent viscosities and the thermal conductivity are the crucial contribution on the interdependence on the fluid velocity vector, the stress tensor and the internal energy. The mathematical framework of the paper includes the classical monotone theory on elliptic equations, the duality theory of convex analysis in order to describe the Lagrange multipliers; and the L&lt;sup&gt;1&lt;/sup&gt; -theory on partial differential equations due to the existence of the Joule effect.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">505</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Yan Lin</style></author><author><style face="normal" font="default" size="100%">Shanzhen Lu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STRONGLY SINGULAR INTEGRAL OPERATORS ON TRIEBEL-LIZORKIN SPACE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Strongly Singular Integral Operators</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">42B20</style></keyword><keyword><style  face="normal" font="default" size="100%">46E35</style></keyword><keyword><style  face="normal" font="default" size="100%">47B35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">312</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, the boundedness of two classes of operators is discussed from the Lebesgue spaces to the Triebel-Lizorkin spaces. One is the commutator generated by the strongly singular convolution operator and Lipschitz function, the other one is the generalized Toeplitz operator generated by a class of strongly singular Calder on-Zygmund operators and Lipschitz function. Moreover, the corresponding result of the commutator&lt;br /&gt;
generated by fractional integral operator and Lipschitz function can be deduced immediately.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">293</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">John J. Komo</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Laurie L. Joiner</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">UPPER AND LOWER BOUNDS ON THE BINARY INPUT AWGN CHANNEL CAPACITY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Upper and Lower Bounds  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">94A24</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">7</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A series expression for evaluating the channel capacity of the binary input AWGN channel is developed which precludes the necessity of numerical integration. This series expression is compact and easy to evaluate. In addition, tight upper and lower bounds are developed for the binary input AWGN channel capacity. These bounds also provide good approximations for the capacity and are within 0.1% relative error (within 0.01% for upper bound) for C ≥ 0.457 and a corresponding Eb/N&lt;sub&gt;0&lt;/sub&gt; ≥ 0 dB.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Ka-Chong Ho</style></author><author><style face="normal" font="default" size="100%">Vincent Lau</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">USING A PETRI NET MODEL APPROACH TO WEB APPLICATIONS TESTING</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A05</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">62C99</style></keyword><keyword><style  face="normal" font="default" size="100%">91A35</style></keyword><keyword><style  face="normal" font="default" size="100%">91B06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Web applications are complex and growing rapidly along with the emergence of Internet and newly developed web technologies. The quality of web applications has become crucial to their success and thus should be tested thoroughly. In this paper, we describe how the all-edges testing of a web application is facilitated by creating a state transition diagram to model various interactions among web pages of each subsystem and then transform the diagram into a corresponding web Petri net machine (WPNM). Test cases can then be generated based on the reachability trees resulted from the corresponding WPNMs. We also generalize an existing statistical testing technique to all-k-paths and all-edges testing of web applications to enhance the reliability of structural testing.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">85</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">I. Al-Subaihi</style></author><author><style face="normal" font="default" size="100%">G.A. Watson</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Algebraic Fitting of Quadric Surfaces to Data</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">65D10</style></keyword><keyword><style  face="normal" font="default" size="100%">65D32</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A important problem is that of finding a quadric surface which gives a “best” fit to m given data points. There are many application areas, for example metrology, computer graphics, pattern recognition, and in particular quadric surfaces are often to be found in manufactured parts. There are many criteria which can be used for fitting, but one of the simplest is so-called algebraic fitting, which exploits the fact that an expression for the curve can be given which is affine in the free parameters. Here we examine a general class of such algebraic fitting problems, consider how the members of the class can be interpreted in terms of the errors in the data, and present simple algorithms which apply to all of the problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">539</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. Farahmand</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">A. Nezakati</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">ALGEBRAIC POLYNOMIALS WITH DEPENDENT RANDOM COEFFICIENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Algebraic Polynomials with Dependent Random Coefficients  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">42BXX</style></keyword><keyword><style  face="normal" font="default" size="100%">60H99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">104</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper provides an asymptotic estimate for the expected number of real zeros of a random algebraic polynomial a&lt;sub&gt;0&lt;/sub&gt; + a&lt;sub&gt;1&lt;/sub&gt;x + a&lt;sub&gt;2&lt;/sub&gt;x&lt;sup&gt;2&lt;/sup&gt; + · · · + a&lt;sub&gt;n−1&lt;/sub&gt;x&lt;sup&gt;n−1&lt;/sup&gt;. The coefficients ai (i = 0, 1, 2, · · · , n − 1) are assumed to be dependent normal random variables with correlation coefficients of any two terms i and j, &lt;img alt=&quot;&quot; height=&quot;18&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;52&quot; /&gt; assumed ρ&lt;sub&gt;ij&lt;/sub&gt; = −ρ&lt;sup&gt;|i−j|&lt;/sup&gt;, where ρ is any positive constant in the interval (0, 1/3). Previous results are mainly for independent distributed coefficients or for a positive correlation coefficient in (0, 1/2).&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">94</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eugenia N. Petropoulou</style></author><author><style face="normal" font="default" size="100%">Panayiotis D. Siafarikas</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ANALYTIC SOLUTIONS OF THE PAINLEVE EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A25</style></keyword><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34C11</style></keyword><keyword><style  face="normal" font="default" size="100%">34M55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;For each one of the six well-known Painlev´e equations, it is proved that there exists a unique analytic solution which together with its first two derivatives converge absolutely in a specified region of the complex plane. Moreover, we give a bound of the solution for all six Painlev´e equations and a bound of the first two derivatives of the solution for the last four Painlev´e equations. Finally for all of them we give a region, depending on the initial conditions and the parameters of the equations, in which the solution holds.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">229</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Anne Beaulieu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF THE EIGENVALUES OF THE LINEARIZED GINZBURG-LANDAU OPERATOR</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Asymptotic Behavior of the Eigenvalues</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the linearized operators, denoted by L&lt;sub&gt;d,1&lt;/sub&gt;, of the GinzburgLandau operator &lt;em&gt;∆u + u(1− | u |&lt;sup&gt;2&lt;/sup&gt;)&lt;/em&gt; in R&lt;sup&gt;2&lt;/sup&gt; , about the radial solutions u&lt;sub&gt;d,1&lt;/sub&gt;(x) = f&lt;sub&gt;d&lt;/sub&gt;(r)e idθ. We prove that for all d ≥ 1 the real vector space of the bounded solutions of the equation Ld,1w = 0 is spanned by the three functions that correspond to the invariance of the equation ∆u + u(1− | u |&lt;sup&gt; 2&lt;/sup&gt; ) = 0 under the action of the rotations and the translations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A COMPARISON THEOREM AND OSCILLATION OF THE SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENTS DEPENDING ON THE UNKNOWN FUNCTION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The ${ n − th }$ order retarded differential equations $${ r_n(t)(r_{n−1}(t)(· · ·(r_1(t)x ′ (t))′ · · ·) ′ ) ′ \ \&amp;nbsp;}$$&amp;nbsp; $${&amp;nbsp; \ \ ±F(t, x(∆_1(t, x(t))), · · · , x(∆_m(t, x(t)))) = 0&amp;nbsp; \ \ \ \ \&amp;nbsp; (±E)}$$ are considered, where ${ n ≥ 2, r_i ∈ C(J,(0, +∞)), i = 1, · · · , n; \int_{a}^{+\infty} \, \frac{dt}{r_i(t)} = +\infty, i = 1, · · · , n − 1; τ_j (t) ≤ ∆_j (t, x) ≤ t,}$ ${ t ∈ J = [a, +∞), x ∈ R, j = 1, · · · , m }$.&lt;/p&gt;

&lt;p&gt;In the main Theorem 1 the oscillatory and asymptotic properties of equations ${ (±E)}$ are compared with those of the comparison equations $${ r_n(t)(r_n−1(t)(· · ·(r_1(t)x ′ (t))′ · · ·) ′ ) ′ }$$ $${ \ \ \ ±F(t, x(τ_1(t)), · · · , x(τ_m(t))) = 0. \ \ \ \ \ (±C) }$$&lt;/p&gt;

&lt;p&gt;By means of Theorem 1 it becomes possible to obtain oscillation criteria for equations ${(±E)}$ using well-known oscillation results for equations ${(±C)}$. This possibility is realized in Theorems 2, 3 and 4 for some particular cases of equation ${(+E)}$.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">389</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S.B. Hosseini</style></author><author><style face="normal" font="default" size="100%">R. Saadati</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Completeness Results in Probabilistic Metric Spaces, I</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">54E50</style></keyword><keyword><style  face="normal" font="default" size="100%">54E70</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we define probabilistic limit point and consider completeness in probabilistic metric spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">549</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J.M. Machado</style></author><author><style face="normal" font="default" size="100%">M.F. Borges</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPLEXIFIED FUETER OPERATORS IN CLASSICAL AND QUANTUM ELECTRODYNAMICS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Complexified Fueter Operators</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">30E99</style></keyword><keyword><style  face="normal" font="default" size="100%">30G99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">226</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we analyse some structural similarities between Maxwell and Dirac equations in the framework of a complexified Fueter operator formalism.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">213</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Saralees Nadarajah</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Convolutions of the Half Pearson Type VII Distribution</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">33C90</style></keyword><keyword><style  face="normal" font="default" size="100%">62E99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Formulas for the convolution of two independent half Pearson type&lt;br /&gt;
VII random variables are derived.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">443</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Partha Guha</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EULER-POINCARE  FORMALISM OF COUPLED KDV TYPE SYSTEMS AND DIFFEOMORPHISM GROUP ON S1</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Euler-Poincar ́e Formalism  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">53A07</style></keyword><keyword><style  face="normal" font="default" size="100%">53B50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">145</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we show that almost all the coupled KdV equations follow from the geodesic flows of L&lt;sup&gt;2&lt;/sup&gt; metric on the semidirect product space &lt;img alt=&quot;&quot; height=&quot;22&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;132&quot; /&gt; where Diff&lt;sup&gt;s&lt;/sup&gt; (S&lt;sup&gt;1&lt;/sup&gt;) is the group of orientation preserving Sobolev H&lt;sup&gt;s&lt;/sup&gt; diffeomorphisms of the circle. We also study the geodesic flow of a H&lt;sup&gt;1&lt;/sup&gt; metric.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">131</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Shu-Yu Hsu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXTINCTION PROFILE OF SOLUTIONS OF A SINGULAR DIFFUSION EQUATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Extinction Profile of Solutions  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">35K55</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">93</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We will prove that if u is the solution of the equation &lt;img alt=&quot;&quot; height=&quot;15&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;80&quot; /&gt;u &amp;gt; 0, in B&lt;sub&gt;R&lt;/sub&gt; × (0, T ), u(x, 0) = u&lt;sub&gt;0&lt;/sub&gt;(x) on B&lt;sub&gt;R&lt;/sub&gt;,&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;16&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;197&quot; /&gt; where B&lt;sub&gt;R&lt;/sub&gt; = {x ∈ R n : |x| &amp;lt; R}, α &amp;gt; 0 for n = 1, and 0 &amp;lt; α &amp;lt; 4/R for n = 2, and&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAAAeCAIAAAANan34AAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAP8klEQVR4nO1bfTiU2fs/zGCHarykQYkJK4tSXGmT8t6mqCgvGartTW3FLotetrJU11V71cVWUrYUym4bIWUkM+1VyW6SVCgWKdN4mSGZMWbmOb8/zvV7er4zE0Mp39+vz1/PuZ/73Od+nvk897nPfc4A+NFRVlbm7u6urq5uaWmZnZ0NIcQwzMvLa968ed9+++2NGzc+mic8Hg8AsGnTpo824n8Rpk+ffvHiReX1c3Nzra2t5eVk8NExe/bskpISokRFRYXJZNbX11MolIkTJ340T3R0dBgMxuXLl/fs2UOj0T7auP+v8AkY9i6Ym5t//EFPnTqVnp4eFhZmYWERFRVFp9M/vg+jE9bW1pMmTVJef9KkSdbW1vJyFQjhh/PqMz5DFqqf2oHP+D+OUc0wDMM+h9j/doyiPIwIiUQSGxtLoVD6+vo0NTXj4+NVVFQ+tVNDQ39/v7q6uowQwzAAgKrqqP6wB4BEIiGTh8aZUfqo8fHxlZWViYmJYrE4ISGhoaHhU3s0NNy4cSMsLExG+ObNm7CwsOfPnytvRywWu7m5iUQi+VtcLvf333/Pz8/v7Ox8L18Hw6ZNm+7fv4+umUxmfHz8kCaW/+BjTk7O+fPnB+7g7+8fHBw8VC+HhN7e3sOHD+/YsQMA8N1339nZ2ZmZmY3oiDL4999/AwICWlpajIyMKisrh2EhLS3Ny8uLKJFKpUFBQUFBQaampsrb6e3tZbFYPT09GhoaRHlGRgaTyXRychKLxYmJiSEhIdu2bSOG+Tt37kRHR6OQiUNVVdXU1HTBggUMBoNEIinpA6pfzpw5EwCwaNEiJpN58ODB2NhYZZ8Br4xhGGZubr5ixYorV65UVVXV1NT4+/sDAM6cOVNdXX3nzp2cnJwpU6b8/PPP71vLGwxMJhMAkJWVNdIDvQsYhrW3t2trawcGBg6j++vXr3V0dLq6uojCpKQkBoMxVFN8Ph8A0N7eThSyWKzly5fjTaFQaGlpmZ6eTtRBjzBt2rSxY8e2tLTw+Xw+n9/S0pKZmamlpbV48WKJRKKkDzKlV5FIZGtr+88//yjZ/S3D7t275+PjQ7w3depUCoUiEolwSUxMzJDqvMPDiRMnAABsNnukBxoAT58+BQCcOHFiGH3Pnj1LZACE8M2bN9ra2k+ePBmqKYUMW7JkCYlE6u7uxiW//PLL5MmT+/v7iWpCoVBDQ8PX11fG5tq1a4f0euWL++np6bNnz0brsEHxNg/Lzs7+6aef8OarV69qa2udnJyI6eqbN2+srKyUDY/DRVNTEwBgwoQJIz3QAGCz2QAAV1fXYfTNzMxkMBhESW5urqOj44d6dTExMUVFRePGjcMlZmZmz58/r6+vJ6qVlZWJRCIXFxeZ7hBCAEBfX9+wHQgODq6vry8vL1dG+S3DBAKBg4MD3rx58yaQe8UkEsnCwmLYnikJxDA9Pb2RHmgAsFgsIyOjYTwsh8OprKxcuHAhUZiRkbFgwYIP5ducOXM8PDyampqKi4sbGxsBAEKhEACA4i4O9JHIMKyzs7OwsJBOp8+bN2/YDqirq8+bN+/cuXPKKL/N9I8dOzaof8nJycN2S3k0NzcDAHR1dYfaMScnJzs7u62t7fLly9ra2gAAqVQaHh6+ZcuW6dOnD9wXQnjq1KkzZ87QaDQ/Pz8Wi+Xm5obnzlVVVSdOnOjs7DQ1Nd21a1dcXFxXV5dUKk1LSxs7dizRTnZ2tr+/PzHw8/n8kpKS+Ph4+UGFQmFCQgKLxaLT6SQS6fDhw/r6+siZAaozHA5n/fr1mpqac+fOvX79OpVKVVNTAwBQqVSiGovF0tbWnjZtGi5pbW0NDQ2lUCgFBQUUCmXgFzIw5s6de/LkSWU031nbYLPZmpqaxKg2AJqamphMJhxsETt//nxlZoqmpiZtbe2h1l3q6upKS0uzs7NpNNqFCxc2bdoEAGCxWGlpaatWrRq4L4ZhkZGRFRUVpaWlFAolNDT01atXePxuaGhITk5OTU0lkUgmJiaXL1++dOlScXFxdHT0tm3bnJyciKaysrKOHDlClDQ3N2MYZmNjIzNoY2Ojn58fg8G4desWiURKSkry8PC4f/8+iUSKiIg4fPiwwjdQXl7u6+ublJQUFBSEJAcPHjx9+jQAYOrUqbiaQCAoLy83NDQ8cOAAAEAoFD5+/LikpCQ6OjovL2/MmDFKvNGBYGVlVVtbKxKJZBa58lD8K6IkzMvLS75mqBAcDufRo0eDMszExGRQhvX19XE4nGFMTykpKdu2bXvw4EFHRwc+w964cUNTU3PWrFlETbFYjD56HKdPn05LS6upqUFftr29fWZmJs6w3bt3Hzx4kEwmQwhfv35ta2tra2uroaFBo9HmzJlDtFNbW9vR0SHDuRcvXpDJZC0tLRkf/Pz8pk2bFhUVhSQrVqyIjIwsKChwdnZua2tTSK+enp7g4GBvb2+cXgAAZ2fn2NhYAwMD4vGQsrKy/v7+4ODgpUuXIgmXy9XV1T137tyCBQu+/vprXPPhw4d4iU5VVRVtYA9ay0AzTHt7++C74wrz/+zsbADA/v37lVxufEDU1dUBADw8PIbasby8HEK4d+9edXV1Pp+PhI6Ojl5eXkQdT0/PlStXent73759Gwm7urrGjx/v5+eHqwUEBBgbG+NrpZs3b6ILlEofP378XT7s2rVrx44dMsKUlBQ9PT0ZIQotFRUVuEQgEAAAdu/enZCQgB+Sk1lLRkZGAgAePHhANFVYWAgAiI2NJQp37twpYx9CiGGYtbX1+PHje3t7ceHVq1ft7e2NjY2Tk5MPHTq0bt06KysrYkeFB8WePXsmb18hFDMsPDwcfQeD9v/gKC4uBgCsX79+eN1tbW2XLFmCrl+/fk0ikQ4cOICa3d3dBgYGlZWVEMLq6mo9Pb2enh4IYX5+PgDg3LlzSA3DMBqNFhYWJm88PT0dAFBTU6NwaAzD6HT648ePZeQpKSm6uroywhkzZlhaWhIX/BiGqampLVmyxNvbG5cTGSaVSnV1dSdNmiRTJkhISAAA1NXVEYVOTk5UKlW+6OXj4wMAuHv3LlFoYWGxefNmvOnt7T1jxgy8qZBhKBBUV1crfBVEKJ4l2Wy2lpaWvb39IAHwf3Ht2rXk5GQ42CwZGhoaEhIysA6K2EMqfONobGysrq5GGRgA4NatW1Kp1NnZWSwW9/X1lZaWdnV12dnZAQBsbGx6e3sLCgqCg4Pv3bsHAMAftq6ujsvlurq6Qgi7urp0dHRw+2w2W19f39LSEjU7OzuJC96ysjJtbe2vvvpKxisajcbn8zEMw7cjBQJBVVVVYGAgMZ1XUVFRUVHJy8traGhQmOZ3dHTweDwnJyfiXQhhRkaGu7v7l19+iQt7e3v//vvvhQsXykx2GIZVVVWpqakRnXz58uWzZ8/27duHmhKJpK6uDn/GdwFRX5kDZAoYhpKwb775RiZZGQCOjo7R0dGDMkw+25VHR0cHAEDmJGBLS8v169cbGhqMjY1dXFyIKS0RtbW1AABbW1vUZLPZJBLJ3t7++PHjDg4OiAG4MpVKffz4MQAAQqiqqoqff0RB1MXF5erVq3w+PyQkpLKyEi1FS0pK7O3t0Q9cVlZWXFy8Z88e3GBWVpbC74dGo0EIu7u7cbJqaGioq6sbGRkR1VBkCg8PnzJlisKno1KpZDJZ5u7Fixebmppyc3OJwjt37ojFYvlKWGpq6vPnz3/88Ufi+heVpebPn49hWHNz8+7du/X09NLS0hT6gIPH42lpaRFXr+3t7To6OgrSR/mwdvbsWQDA3r17Bw2AI4Ho6Gj0jnBJYmKijY3NpUuX6uvrmUymo6Pjxo0bFW56IMaghIzL5RobG1tZWUEIly1bJpFINm7caGZmhiubmZmFh4dDCFFd5uXLlxDCJ0+eGBgYUCgUDMM2bNjA4/FSU1MBAH/99deVK1fIZPLatWshhGKxOCgoCM/2IIT9/f0TJkxARmTA5/NVVVXxZA5hzZo17u7uePPFixfLly/X19ffvHmzRCIpLCzE+wJCHoZ64bPko0ePxo0bh8/vOL7//nvwn0kSn8+Pj49XU1NbvXq1zKtbt26dvr5+YGAgiimrVq2SUVA4S+7fv9/e3h5v3r59m0QiKfzHw1uGcTgcBweHKVOmUKlULS0tQ0NDGxubrVu3yvcZUaxZswYAwOFwUBN9TMTUp729nUqlbt++Xb4vhmERERGurq4xMTHLly/Py8uj0+mbN29Ge3ZRUVEGBga4Mo1G++GHH9B1XFzc4sWLo6KiQkNDy8rKJk+eHBERERMTAyG8du2avr5+bGzs6tWry8vL7ezs4uLiGAwGWjvjKCgoIDJGBrNmzdq3bx9RwuPxfH19Q0NDd+7cGRYWFh4e/vLly8LCQltbWwaDgUo/UI5hPB7PxcXF398/OTk5MjLSysoqJyeHaPbo0aMmJiZoOra0tLS2tra2tjY1NaXT6cuWLVP4Lxtzc/MtW7ag66KiIjKZ/OrVK6KCQob5+PgcOnQIb9bU1EyePNnOzk7evuJM/xPCx8fniy++wD9TZ2dnOp0uo+Ph4WFkZPQuC62trU+fPpVKpRBCoVCIv6/U1FQKhYKrUSgU4rZjW1tbc3MzuhaLxfg1hFAkEtXV1SGDUqm0sbFRfksuMDDwzJkz73IpJSXF2dlZXt7R0dHQ0EC01t3d3dbWhjfl9yUlEsn9+/fT09PZbDZxSTg8tLS0oKkWNf/8808AAFoM4ZBnGNralw/YAQEB8kOMOobNmjVr6tSpeHPx4sWGhoYyOk5OTmj6GxK4XC6JRGpqaoIQNjc3k8nkFy9evKe3CN3d3bq6usStaBn09PQYGRkps7aXgcKd7w+IjIwMAACXy0VNVOPgcDi5ubmtra1IKM+wpKSkRYsWyZgSCoXBwcHyQ4w6hunr6y9duhRvnjp1CgBAjCgCgWDMmDFxcXHDMH7kyBEXF5dff/3Vzc1teOcmFCI9PV3h50vEhQsXfH19lTyPgGNEGbZlyxYzMzMKhbJ06VJ0gqakpIRCoaADZ7irMgzr7u42NzeXL9ls3769tLRUfpRRwbDz588XFRVBCLlcLgDgwoUL+C2xWDxz5syEhASi8sSJEwcIGAODz+ffvXtX5vDWe8LT0zM/P39QtfDw8KSkpCFZHukYJg+BQFBRUSEWi3EJkWEYhvn7+588eVK+19GjRxUa/PQMk0qlY8aMQWnKsWPHHB0d8bWMVCrNzc0tLy+3sLDAPylPT88//vijtLSUx+N9MqcJkEgkc+fOJZ6iexfEYnFcXFxjY6PyxkUikZ2dnVAoHL5/742VK1fitfe8vLzffvttSN0/PcMghBcvXty6dWtiYuKGDRs6OzuJt9zc3B4+fOjp6YmO7wkEgunTpz98+NDV1VXmwN1njE6MCoYNAPwoH5pGnz59ipbis2fP/tSufYZS+Pyf788YWfwPuzrbaK+NFt0AAAAASUVORK5CYII=&quot; width=&quot;134&quot; /&gt; then there exists a constant λ &amp;gt; 0 such that the rescaled function&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;15&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;265&quot; /&gt; will converge uniformly on &lt;img alt=&quot;&quot; height=&quot;17&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAAdCAIAAACvy0LTAAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACsklEQVRIie1WTUgqURQ+I88ZXEhtClGQII2YIahFEBTSgLkIdDm4CFu4CARpX1CbIGjhIqjlgJELVyFuBWchJQa5UhHEwtqokJBi2DT3vsUF3zD6/OGVi3jf7nxz7v043zlz76UwxjAR6CYj81/pH/Grl6IoaqwtRpwpamKz16cmNS4vL6+urjQkwzA2m213d9fhcIwhhQdCluVyuQwAPM/X6/VGo9FoNIrF4tHREQCcnZ0NXq7GECWMcTKZBIBQKKTh5+fnGYZ5f38fUWn47BGlzc3NXjMURZFl+Wvcwxg7HI7p6enPz081mUqlAMDr9Y5YEB7qXrvdpmna4/GoyXQ6bbVaeZ5vNpujKw2Zvbu7u4+Pj7e3t5OTEwB4fX29v78vl8unp6c7Ozs63Rg//hAl0qRgMLiwsECs3tjYCIVCoii6XC6TydTNbLfbkiQhhEhoNBpZlp2ZmRm1T+vr61NTU5omVatVANje3taQx8fHALC3t3d+fn54eLi6urq/v68oCkkYpNRqtfR6vdvt1vAIIaPRaDAYEEJqPhKJAEC1WiVhJpMBgFgsRsJBRt/e3sqyzPO8hn98fGw2m8vLy5oTUpIklmVnZ2dJmMvlAOCPwwNqOjg4AICHhwcNLwgCRVHxeFzD2+32QCBAzLi5ubFYLBcXF92vf1VCCK2srKibhBB6enoSBIFhGPUWBC8vLwDA87wgCIuLiwzDZLNZdUJ/JZ/PR6qmaZplWY7jOI4zm81LS0t+v79UKvUuub6+BoBarUbCtbW1YDCoTug/5eFweED/+kKSJI7jumPdarUqlYo64WvuXIxxMpnsno2dTiefz5tMpk6nI4rilyml0+mtra3n5+dEIhGNRgGApmmn01koFAKBwNzcHEn7xju3VCoZDAaLxfLtShr8xFfY5JR+Ay9Ajv3SFgGhAAAAAElFTkSuQmCC&quot; width=&quot;21&quot; /&gt;&lt;sub&gt; &lt;/sub&gt;to &lt;img alt=&quot;&quot; height=&quot;16&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;94&quot; /&gt; as s → ∞ for n = 1. For n = 2, if u&lt;sub&gt;0&lt;/sub&gt; is radially symmetric, then v(x, s) will converge uniformly on&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;17&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;20&quot; /&gt; to &lt;img alt=&quot;&quot; height=&quot;18&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;78&quot; /&gt; for some constant λ &amp;gt; 0 as s → ∞.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">67</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Fozi M. Dannan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIBONACCI Q-TYPE MATRICES AND PROPERTIES OF A CLASS OF NUMBERS RELATED TO THE FIBONACCI, LUCAS AND PELL NUMBERS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Fibonacci Q-Type Matrices and Properties  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">11B39</style></keyword><keyword><style  face="normal" font="default" size="100%">11C20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">261</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A class of numbers that contains the Fibonacci, Lucas and Pell numbers is investigated, and some properties are obtained. Fibonacci Q-type matrices&lt;br /&gt;
are constructed as a tool to get many properties for Fibonacci and Pell numbers.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">247</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Peiguang Wang</style></author><author><style face="normal" font="default" size="100%">K.L. Teo</style></author><author><style face="normal" font="default" size="100%">Yanqun Liu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FORCED OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B05</style></keyword><keyword><style  face="normal" font="default" size="100%">35R12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Oscillation properties of the solutions of impulsive parabolic differential equations of neutral type are investigated via the method of impulsive differential inequalities. The oscillatory criteria of solutions subject to two kinds of boundary conditions are obtained.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">343</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kimiaki Narukawa</style></author><author><style face="normal" font="default" size="100%">Takashi Suzuki</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Inhomogeneous Elliptic Equation Associated with Critical Sobolev Exponent</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J25</style></keyword><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The Dirichlet boundary value problem for inhomogeneous semilinear elliptic equation associated with critical Sobolev exponent is studied. Applying Nehari’s method to this problem, we give sufficient conditions for the existence of the solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">505</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Youyu Wang</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Peiguang Wang</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">INTERVAL OSCILLATION FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Interval Oscillation  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">212</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we are present new oscillation criteria for the nonlinear differential equation with damping&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;26&quot; src=&quot;data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXkAAAAiCAIAAAA1Xz7qAAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAASjElEQVR4nO2de1AT1/fAbxAwJFgeouCjtCKPiIIlqCmKCJRWWzQKghYiKNAWaGFEVKodrYIvpiLW6Eztw9bH+BqsVgS04whIEa08C6IgINgaeRMgkBCS7P7+2Pnu7Hc3GzZkQ78zv/38Rc69d8+555579u7u3YUFwzBgYGBgMDIm/7YBDAwM/y9gcg0DA8NEwOQaBgaGiYDJNQwMDBMBk2sYGBgmAibXMDAwTARMrmFgYJgIxpNr1Go1jU0gCNJoNOMwo76+Pi0tTS6X06KOrMnAwEBaWlpTU9M4LKSF/33XTTwQBEEQRFY6jvik8Ti6W2ktpctgujBWDMB6kp+fv3v3bur1IQg6cODAtWvXyCpIJBKRSDQ4OKivJcHBwQCAiooKWtSlp6ffunWLWP/o0aMAgKysLH3NowXd3qbXdcZTRy8ymUwkErW2tpJVIBtKrfT29srlcqK8qakpPDxco9HoZZtuB0IQJBKJGhsbcfK8vLz9+/dDEKSXLiNhvBjQL9eUlJR4e3sPDw9Tb5KZmRkXF6e7Tk5OTnBwsFqtpn7Y4eFhNpvN5/NxIzRudQqFwsfHp6SkBFd5xYoVkydP7urqom4bXVDxNo2uM5I6elGr1cHBwRcuXNBRh2wocUAQlJKSIhKJli5dijtgR0fH/Pnznz59qpdtVBzY3Nzs6enZ2dmJkycnJ2dmZuqlzhgYNQb0yDUymWzOnDkNDQ3Um1RWVvJ4POJ549GjRz///DNW8umnn2ZnZ1M/cl5eHgDg3LlzNKp78eLFnDlzsDlbKpVOmjQpJiaGumF0QeZtI7nOeOro5cSJE5s2bcIJNRrNvn372tvbUQlxKImcO3fOysqqtbUVAJCUlIQtCgkJ+emnn/QyjMyBnZ2de/fuxab1ixcvCoVCXDWlUunh4VFeXq6XUnoxdgzokWsOHjz48ccf63X0oKCg06dPE+WLFy9euXIlVtLS0mJtbU3M92QkJiZOnz59ZGSEXnVbtmzZtWsX+vPq1asAgOrqaopWHT9+nK6VMJm3jeQ646kbGBjQd96SMTQ0ZG1tTVxu5OfnAwAePnyIFeKGkoi/v39AQAAEQTk5OVKpFJWXlpbOnj17dHRUL9vIHLhz504Oh4NdBajVaicnpzt37uBqnj179t133/0Xr6SMFwMIVHMNBEHOzs644dTNy5cvbW1tiesxqVRqYmJy5MgRnFwoFBKFZMY4Ojp+/fXXtKurqqqytrZGV0bR0dF+fn5UTELgcrkymYx6fTLIvG0k1xlPHQzD5eXl3t7eFCvr5sKFC7igR0hNTeVyubjsgBtKHCqVis1m79ixg1gUFxdHvXcIOmYHn88n2pydnU0UKpVKOzs7vaYYjRg1BhCo5pqysjIrKyu9bpUdPnyYuFaEYfjmzZsAgEePHuHkYrF43rx5VI785MkTMzOz169f064OgqCpU6devXoVhmGNRjNt2rRff/2VikkIdOUaMm8byXXGUwfTmms++OADrUt3Ly+vVatW4YTYoSRSU1MDALh8+TJOLpfL33jjjaqqKr0MI3NgX18fi8Ui3oipra1lsVi4UYBhODQ0NDExUS/VdGHUGECgmmtSU1NxmVilUm3dunX16tUnT55sa2uLjY3dsGHDypUr0dMLn8/HZb7Y2FiBQPDmm28CALy9vX19fV+9eoWWVlVVAQDQq+6hoaGYmBh/f/8ffvgBrVNQUJCWliaTye7evYuz0EB1KEKhMCEhAYZhCIJyc3P1ugdGMdcMDw9HRUV9+OGHOTk5z549i4yMDA8Pj4iI6OvrQyoQva1XXyAISk9PX7NmTWxsLFqntbU1PDy8q6uL6DoD1elG31zT2tq6bt26VatWffLJJz09PdHR0UNDQzAM9/X1mZiYYE+8paWlPj4+AoGAxWLZ29sLBIJDhw5hD4UOJRaJROLn5+fi4gIAcHd39/X1ffnyJVqam5vL4XBUKhW2iY5QRP4mOvDUqVMCgWD+/PkAABcXF4FAcPv2bbRUo9FYWVlduXIFZ1t2djaPx6PsqvHQ39+/Y8eOqKiotWvXJiUloeFt1BhAoJpr1q5du337dqzkxo0bZ86cQS6VlyxZ8vr16+zsbAAAen/LysoK9+hRpVIpFAp3d/egoCCFQqFUKrGlCoUCAPD7778jP+Pj45uamsRi8fTp09GLWG9v76CgIK0WGqgO5csvv/Tx8aHiEyIUc01WVlZpaalYLGaz2Rs2bOjv74dhOCYmJiIiAqlA9LZefTl//vzZs2dra2sBAPX19Yhw+/btHA4H15AWdbrRK9dUVVXNnDkzPz8fhuHGxkZra2t07lVXVwMAcO5VKBSXLl0CABQXFysUCtxpmWwolUplXFycra2tXC7Hde348eNEa8cMRaIDNRqNQqFISEjgcDiDg4MKhQJ3TIFAQHy0fPv2bQAA7lYaSmtr6+nTp78bCx2Pz8rLy2fPnn3+/HmkF0lJSTk5OWRdoDEGEKju5Xv16pWNjQ1WkpeXt27dusbGRgBAZmbmjBkzkIeR3t7eSEwMDAzgmpiamg4NDT19+jQwMJDNZpubm2NL2Wy2hYVFV1cXAKCjo2N0dNTZ2fnu3bt2dnYsFgsAIJVKq6qqAgICiOYZqA6Lra0tUUgvjx8/Xrp0aVtbm4mJyalTp6ysrAAArq6uOTk5KpUKaPM29b7AMJyTkyMSie7evQsAsLOzQ+oUFhYuW7YM1xDBEHU0olAoQkNDw8LCPvroIwCAs7OzRqPx9/dHjTQ1NeVyuThLHj58yOFwli5dymazTUz+K57JhtLc3Lyurs7Ly8vCwgLXNaIrqIQisZWJiQmbzX7w4IGvr++UKVPYbDbOBq222draAgC6u7u1+qe9vf0JBdra2rQ2l0qlYWFhQqEwKioK7cWcOXPIukB7DJhSrPfq1StkSqBs3rzZ1ta2srLSxcUFcbqrq6urqytSKpFIAAC4JgCAkpISAAAaQDjQAVCr1QcOHJDL5ffu3du6dSvaFoZhrbnGQHVjColAEHTkyBFcWCiVyrS0NOyoWFpa7tmzBxdqycnJLBarpKTE399/2rRpiLC1tVWtVg8NDdnY2BC9Tb0vGo1m//79pqamt27d8vHxmT59OgCgr6+vpqbm0KFDWtsaog5HZ2fnsWPHRkdHsZK///47JSUFW43H4yUkJODaZmVltbW1JSYmIj/r6+tlMhk211hZWSGTBEtxcbGvr6+ZmRl1I9VqdW1tbVJSErGI6AoqoajVgT09PXV1dREREUQtZLYhuaarq2v27NnEJj4+Pj4+PlqPRoX09PSXL1/y+fzc3NzOzs47d+4sW7YMWRmQdWF8MUAG1VwDAID/+2uhy5cvh2H43r17yCZUKk0AAMXFxVwud9GiRVrrQxCETFTE19evX5fL5Rs3bkRKCwsLdbQ1RN2YQiIsFsvJyQk3PCwWa+7cuZMnT0YlHA7H1BTvZF9f34GBgaqqqszMTFT4119/vf322+i5Zdx9MTU15fP53d3dJSUlyFUtAOD+/fswDJMFjSHqcHA4nLlz5yKrMwQzMzM2m+3s7Iyt5ujoSGx77do1Ho/H4/FQmwEAfn5+OoxE5nNkZKReRjY2No6MjHh5eWlthdNCMRSJtiETVeupkcw25MULKuE3DvLy8mbNmqVSqaRSqYuLS0REhKWlJbYCXTFABtVcY29v39fXhxM+e/aso6NDawTb29sDAIhNsGeh9vb2GTNmYEulUik2o9+4ccPe3t7T0xP5WVRURHYGo0WdDiERFotFPGXt2rUrPj4eN4Ra+eOPPyAIQl0nkUgeP34cGxuLdsfAvuTm5kIQtHLlSuRnUVGRjqAxXB3KlClT4uPjsZKKioqioiKtiwgsCoWivr4encyIAW5ubqhee3t7qVQKQRD2Qgl74pXL5SqVCpv9yYxEbv1ozTX29vbIfS4cukORzIFcLhdZOHR2dk6bNg1ruVQqdXNzwzWRSqXgP9mNyO3bt8ViMTEj4IiKihKJRER5R0dHQEAAcTmpuwvjiAEyDMo1xcXFgGSJZW1tbW5ujmsyODhYV1eHOKK3t3f//v3ff/89WqpQKEZGRrDWNzQ0LFiwAFk2d3d3o22NpA6hr69PLw+Oj6KiIg6Hg4b7lStXOBxOeno68pPo7XG4ztzcHF1NFBYWLl++XGuapkUdLUAQhE6/kZGR4uLisLAwrJEwDOPuypWVlVlaWiLzOSsra926dWg6AORDWV1dzeFw0Ot9LFrjHIwVilpblZWVIT6HYXjHjh0//vgj9lJaq219fX1cLpd4LYMgEAiQDUFaS1EWLFigVe7o6IicklF6enrKysqEQqHWLugbAxqNZnBwEHfTBwvVXOPp6Yk85cJy//59Z2dnrcPJYrE8PDzq6upCQkKwfQMALFy4EIbhffv2oVe/CDU1NZMmTZo7dy4qcXR0RK/8v/nmG0B+6UiLOlTu4eGhVQuNFBcXy+XygYGBqVOntrW1HT58+PTp07NmzUJKid4eh+vMzc0nTZoEAMjPz6+vr4+KiiIzxnB1hmNhYbFs2bKOjg4AAARBycnJvb29K1asQCu4u7ubmJjU1dVhr6q6urrmz59vZmbW1NQkkUiwiQaQD2V1dbWnpyfiHByenp4ZGRlKpRJ7IQzGCkWts6OrqysoKAgAcPHixYCAAGyiUavVT5482bt3L65JTU0Nj8cj3pNCsLW1fe+997QWUWHTpk0FBQXoz+fPn2/btu3YsWNkXdA3BkJCQgoLC5ubmx0cHLRbQPF5VUFBAYfDwW3NXLBgQWpqKlmTtLS0999/HyuBICg8PDwsLCwyMjI3NxdX/9ixY8HBwVhJXV2di4tLWlpaaGiog4PDlClTcBsf6FUH/2fjw7hfS6H4zBvZ4hUXF7d69eqvvvpqyZIlBQUF2ApEb+vbl8HBQV9f3y1btmzevBnZ5fHnn3+S2WO4Oh1Qf+ZdX1/v5eW1Z8+e6OjowMBAAIBEIsFWWLJkCW4HTVlZmZOT086dOzdv3ozbIkw2lBAE2djYkMVtf3+/mZnZgwcPcHLdoah1dojF4kWLFn3xxRcZGRm4Nw8qKyttbGyIz7bXrFlz9OhRrYYZjkKhiI6OFolEu3fv3rBhw7Zt27q7u3V0Qd8YSE1NnTdvHvZtDxxUc41KpZo5c+a9e/ewws7OTh2T/+nTp1wud2BgACuEIOj58+c4IUJgYCB2dxMEQTKZTKlU1tfX9/f3Ozk5ffbZZzosNFAdQklJCY/HG/c7KZaWlsjGM9389ttvAIDS0lLkmSJxz4tWb+vVF5lMhtRvb2+PiYlxc3PTsefbcHU6qKioWLRoEcXKKpWqublZo9GEhYW5urriSr/77jvkiQSW/v7+58+fE4eMbChbWlqAto2wKBs3bty7dy9WMmYoanUgDMMSiYS4ORiG4YyMDOImQ+QCBJdeaae3t7elpYUYDEaNAQQ93r08fvy41pcAdLB27VqK74PW1NTY2dlhT03h4eFvvfUWEisXL160sLAY8xVzQ9QhhISEGHJi0fHdHCwpKSlk2+pQqHub2JeTJ0+amJg0NzfDMPzixQtzc3PdH2EwUJ1u5HJ5Xl4excoIGo3Gzs6OeGqRyWQzZ86srKykchDcUGo0mqysrIaGhvPnz6NxpZWKigoHBwfs7jsqoUjdgSMjIw4ODo8fP8bJT5w4QX21aAyMFwMIeuSa0dFRT09P4geWdNDS0uLq6orsi9UBBEEhISFnzpzBCnk8HvLdg9raWnt7++vXrxtVHQzDlZWVbm5uxC2e9KJUKt3d3QMDA3VXo+htrX2JjY1NTExUq9X9/f3e3t5a3zCkUR3tIE+XfvnlF2LR5cuXhULhmAtP4lAiOxvFYvGmTZtwX0ggEh8fjz1pUQlF6rPj22+/jYqKwgkHBgacnZ2fPXs2ZnPjYewY0O9bWQ0NDV5eXuhrO1S4fPlyaGio7uAQi8WRkZG4Ovn5+bGxsevXr1+zZk1NTY2x1UmlUg8PD31futOX169fL168mM/nL1y40M/PT/fShoq3tfalubk5JiYmMjIyKCiI4lLLEHX0sn79ej6f7+3t7eXldfDgQWKFhISEEydO6DiC1qHs6ekRCoVhYWHJyclj2j88POzj44MuPSiGIhUHlpeXv/POO7jTIQRB69evx75s9W9h1BjQ+xugyPZTvZpcunRJx6rkn3/+SUlJIZt1+n6EcdzqDh8+rOMa/t9Ct7dpd50h6iYMlUq1a9cuHd8A1TGU1GdIT0/P559/jvUhFX/qdiAEQfHx8cT3FW/evGnspSJ1jBcDLHisx/UMDAwMhsP8zxYGBoaJgMk1DAwMEwGTaxgYGCYCJtcwMDBMBP8HbxTsjfAWkfEAAAAASUVORK5CYII=&quot; width=&quot;288&quot; /&gt;&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;Our result generalizes and extends some ones in the known literature.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">207</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BASHIR AHMAD</style></author><author><style face="normal" font="default" size="100%">Rahmat Ali Khan</style></author><author><style face="normal" font="default" size="100%">S. SIVASUNDARAM</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">K-TH ORDER MONOTONE ITERATIVE SCHEME FOR BOUNDARY VALUE PROBLEMS ASSOCIATED WITH SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A45</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The method of quasilinearization, coupled with the method of upper and lower solutions, is applied to a nonlinear second order boundary value problem associated with a functional differential equation to obtain a sequence of approximate solutions converging monotonically and rapidly to a unique solution of the problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">317</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Miodrag S. Petkovic</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Dusan M. Milosevic</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">LAGUERRE-LIKE METHODS FOR THE SIMULTANEOUS INCLUSION OF MULTIPLE ZEROS OF POLYNOMIALS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Laguerre-LikeMethods</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">30C15</style></keyword><keyword><style  face="normal" font="default" size="100%">65G20</style></keyword><keyword><style  face="normal" font="default" size="100%">65H05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">284</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;New iterative methods for the simultaneous inclusion of multiple complex zeros of algebraic polynomials, based on a suitable fixed point relation of Laguerre’s type, are considered. The proposed methods are realized in circular complex interval arithmetic and produce disks that contain the sought zeros. The established initial conditions guarantee the convergence of the presented method and the fourth order of convergence. These conditions depend only on available data, which is of considerable practical importance. It is shown that the basic iterative formula is convenient for the construction of interval methods of high computational efficiency since the accelerated convergence rate is obtained with negligible additional operations. Convergence analysis and numerical results are also given.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">263</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. Kristaly</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">V. V. Motreanu</style></author><author><style face="normal" font="default" size="100%">Cs. Varga</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A MINIMAX PRINCIPLE WITH A GENERAL PALAIS-SMALE CONDITION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A minimax principle with a general Palais-Smale condition  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J40</style></keyword><keyword><style  face="normal" font="default" size="100%">49J52</style></keyword><keyword><style  face="normal" font="default" size="100%">58E30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">297</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we establish a general deformation lemma and a subsequent minimax principle for locally Lipschitz functionals with a new condition of Palais-Smale type.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">285</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Saralees Nadarajah</style></author><author><style face="normal" font="default" size="100%">Kosto Mitov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Moments and L-Moments of the Linear Hazard Function Distribution</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">62N99</style></keyword><keyword><style  face="normal" font="default" size="100%">62P10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The linear hazard rate function distribution was introduced by Kodlin [20]. In the decades that followed, this distribution has been used by many biometricians, statisticians, mathematicians, medical scientists and others. However, it seems that an important error in the original paper concerning the moments of the distribution does not appear to have been noted. In this note, we correct that mistake and provide general expressions for the &lt;em&gt;m&lt;/em&gt;th moment and the &lt;em&gt;m&lt;/em&gt;th L-moment of the distribution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">555</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Hunan Xu</style></author><author><style face="normal" font="default" size="100%">Q-Heung Choi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Nontrivial Solutions of a Nonlinear Wave Equation with Jumping Nonlinearity</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B10</style></keyword><keyword><style  face="normal" font="default" size="100%">35B38</style></keyword><keyword><style  face="normal" font="default" size="100%">35L05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study the multiplicity of nontrivial solutions for nonlinear wave equation of the form${&amp;nbsp; u_{tt} − u_{xx} = b[(u + 1)^+ − 1] }$ in ${ (c, d) × \mathbb{R} }$ with Dirichlet boundary condition on the interval ${ c &amp;lt; x &amp;lt; d }$. We find the multiple nontrivial solutions of the equation. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">465</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Ziqi Sun</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NOTE ON EXPONENTIALLY GROWING SOLUTIONS FOR THE SCHRODINGER ¨ EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35R30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We give a construction of the exponentially growing solutions to the Schr¨odinger equation with vector potentials through the integral equation method.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">327</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J. Hounie</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NOTE ON THE MIHLIN-HÖRMANDER MULTIPLIER THEOREM</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">42B15</style></keyword><keyword><style  face="normal" font="default" size="100%">42B20</style></keyword><keyword><style  face="normal" font="default" size="100%">42B30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This note offers a proof of the extended Mihlin-H¨ormander multiplier theorem. As an application we show how the notion of Hardy space may be microlocalized along a ray.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">381</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Shey-Huei Sheu</style></author><author><style face="normal" font="default" size="100%">Shiueh-Ling Yu</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OPTIMIZATION WITH BATHTUB FAILURE RATE AND DISCOUNTED PURCHASING COST</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">90B25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;An optimal age-replacement policy under renewing free-replacement warranty for non-repairable products is considered. Upon failure, it incurs a downtime. Such downtime cost can have a significant impact on users’ profits/safety. The users will have to decide when to replace the product. Taking product warranty into account, different decisions will have different cost implications to users. For products with a bathtub failure rate function, and considering a discounted purchasing cost, we derive the expressions for the long-run expected cost rate. Then the optimal age-replacement policy is obtained. It shows that the optimal replacement age should be adjusted toward the warranty period when a product is warranted.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">369</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Oscillation Criteria for First Order Nonlinear Differential Equations with Retarded Arguments</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper some new oscillation criteria are obtained for the first order nonlinear differential equation $${&amp;nbsp; x′(t) +\sum_{i=1}^{n} p_i(t)f_i(x(τ_0(t)), . . . , x(τ_m(t))) = 0, \ \ \&amp;nbsp; t ≥ α }$$ with retarded arguments, where ${ n ≥ 1,\&amp;nbsp; m ≥ 1,\&amp;nbsp; p_i(t) ≥ 0, \ τ_j (t) ≤ t}$ and ${x_0 f_i(x_0, . . . , x_m) &amp;gt; 0 }$ for ${&amp;nbsp;t ≥ α,\&amp;nbsp; x_0x_j &amp;gt; 0,\&amp;nbsp; i = 1, . . . , n, \ j = 0, . . . , m. }$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">527</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION OF THE SOLUTIONS OF SECOND ORDER RETARDED IMPULSIVE DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The second order retarded impulsive differential equation of the type $${(r(t)x′(t))′ + F(t, x(τ_1(t)), · · · , x(τ_m(t))) = 0, \ \ \ t \ne t_k, }$$ $${∆(r(t_k)x ′ (t_k)) + F_k(x(τ_1(t_k)), · · · , x(τm(tk))) = 0 \ \ \ \ \ \ &amp;nbsp; (E) }$$ is considered in the case, when&amp;nbsp; ${ \int^{\infty} \, \frac{dt}{r(t)} = +∞.}$&lt;/p&gt;

&lt;p&gt;Various oscillation criteria for equation ${(E)}$ are obtained, which extend some oscillation results for equations without impulses.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">353</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N.T. Markova</style></author><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OSCILLATION THEOREMS FOR n-TH ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH FORCING TERMS AND DEVIATING ARGUMENTS DEPENDING ON THE UNKNOWN FUNCTION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper differential equations of the type $${ x^{(n)} (t) + a(t)F(x(δ(t, x(t)))) + b(t)G(x(∆(t, x(t)))) = q(t) \ \ \ \ \ \ (E) }$$are considered, where ${n ≥ 2}$ and the deviating arguments ${δ}$ and ${∆}$ depend on the independent variable t as well as on the unknown function ${x}$. Sufficient conditions are found under which every solution ${x(t)}$ of equation ${(E)}$ is either oscillatory or such that ${ \lim_{t→+∞} x^{(i)} (t) = 0,\&amp;nbsp; i = 0, 1, . . . , n − 1.}$&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">417</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">P.S. Simeonov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF THIRD ORDER RETARDED DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The third order retarded differential equations$${&amp;nbsp;(r_2(t)(r_1(t)x ′ (t))′ ) ′ + p(t)x(g(t)) = 0 \ \ \ \ \ \ \ \ \ (L) }$$ and $${ (r_2(t)(r_1(t)x ′ (t))′ ) ′ + p(t)F(x(g(t))) = 0 \ \ \ \ \ \ \ \ (N) }$$are considered and sufficient conditions are obtained under which every proper solution ${x}$ of equation ${ (L) \ (or \ (N)) }$ is either oscillatory or such that $${ \lim_{t→+∞} x(t) = \lim_{t→+∞} r_1(t)x ′ (t) = \lim_{t→+∞} r_2(t)(r_1(t)x ′ (t))′ = 0 }$$ monotonically.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">397</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelkader Boucherif</style></author><author><style face="normal" font="default" size="100%">JUAN J. NIETO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE FIRST ORDER DIFFERENTIAL INCLUSIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We present new existence results for a differential inclusion with periodic boundary conditions and subject to impulses at fixed times.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">409</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Y.Q. Chen</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Y.J. Cho</style></author><author><style face="normal" font="default" size="100%">S.M. Kang</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS WITH SMALL PERTURBATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Periodic Solutions for Evolution Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">47H05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">41</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Let A : R × E → E&lt;sup&gt;∗&lt;/sup&gt; be a limit mapping of class (S&lt;sub&gt;+&lt;/sub&gt; ), where E is a real reflexive Banach space. We study the existence of periodic solutions of the following evolution equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;br /&gt;
&lt;img alt=&quot;&quot; height=&quot;59&quot; 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&quot; width=&quot;295&quot; /&gt;&lt;/p&gt;

&lt;p&gt;As a special case, we derive the existence of periodic solutions when A is pseudomonotone.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">33</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Maria Alessandra Ragusa</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUASILINEAR EQUATIONS WITH DISCONTINUOUS COEFFICIENTS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">31B10</style></keyword><keyword><style  face="normal" font="default" size="100%">32A37</style></keyword><keyword><style  face="normal" font="default" size="100%">35K20</style></keyword><keyword><style  face="normal" font="default" size="100%">43A15</style></keyword><keyword><style  face="normal" font="default" size="100%">46E35</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">6</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, using Aleksandrov-Pucci maximum principle, we prove an ${ L^∞ }$ a priori estimate and also uniqueness for weak solution ${u}$ of a Dirichlet problem associated to quasilinear strictly elliptic equations with Charatheodory’s coefficients. The results obtained are first step in the study of weak solvability of boundary value problems for quasilinear elliptic equations.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">337</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">J.M. Machado</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">M.F. Borges</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">QUATERNION FUNCTIONS AND FOUR-DIMENSIONAL RIEMANNIAN METRICS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis </style></secondary-title><short-title><style face="normal" font="default" size="100%">Quaternion Functions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">30E99</style></keyword><keyword><style  face="normal" font="default" size="100%">30G99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">31</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we discuss homeomorphic transformations of Riemannian metrics in four-dimensional&amp;nbsp; Riemannian manifolds, and show that these transformations are related to the solutions of Beltrami-type systems of differentiable, quaternionic functions. It is introduced the concept of quaternionic factorization of metrics, and demonstrated that monogenic functions are a particular case in a larger class of quaternionic differentiable functions. This class is formed by the solutions of an homogeneous operator equation, constructed for any factorizable, Riemannian metric.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">15</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Satoru Takagi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Renormalized Dissipative Solutions for Quasilinear Anisotropic Degenerate Parabolic Equations</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K45</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65</style></keyword><keyword><style  face="normal" font="default" size="100%">47H06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We introduce a new notion of renormalized dissipative solutions for the Cauchy problem of a quasilinear anisotropic degenerate parabolic equation ${ u_t+div F(u) = div (A(u)∇u)+f }$ with locally Lipschitz-continuous flux ${ F }$ and ${ L^1 }$ data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Bendahmane and Karlsen. As applications, we apply our result to certain relaxation systems in general ${L^1 }$ -setting and construct a renormalized dissipative solution.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">481</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eric R. Kaufmann</style></author><author><style face="normal" font="default" size="100%">NICKOLAI KOSMATOV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Singular Three-Point Boundary Value Problem</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study the three-point singular nonlinear boundary-value problem $${&amp;nbsp;−u ′′(t) = a(t)f(u(t)), \ \&amp;nbsp; 0 &amp;lt; t &amp;lt; 1, }$$&amp;nbsp; $${ u(0) = 0, \ \&amp;nbsp; αu(η) = u(1), }$$ where ${ 0 &amp;lt; η &amp;lt; 1, 0 &amp;lt; α &amp;lt; \frac{1}{η} }$ and ${a(t)}$ is in a class of integrable functions. Using a fixed point theorem we show that under certain growth conditions imposed on continuous ${ f(u)}$, the problem has infinitely many solutions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">429</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">D.L. Denny</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOLUTIONS FOR A MODEL OF LOW-SPEED FLOW FOR FLUIDS WITH CAPILLARY EFFECTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Solutions for a Model of Low-Speed Flow  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword><keyword><style  face="normal" font="default" size="100%">35K60</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">66</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study the initial-value problem for a system of equations that models the low-speed flow of an inviscid, incompressible fluid with capillary stress effects. The system includes hyperbolic equations for the density and velocity, a parabolic equation for the temperature, and an algebraic equation (the equation of state). We prove the local existence of a unique, classical solution to an initial-value problem with suitable initial data. We also present a new, a priori estimate for the density, and then use this estimate, along with a bootstrapping argument, to show that if the regularity of the initial data for the temperature and velocity (but not the density) is increased, then the regularity of the solution for the density, temperature, and velocity may be increased.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">43</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. Apreutesei</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME SECOND ORDER DIFFERENCE EQUATIONS IN HILBERT SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Second Order Difference Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword><keyword><style  face="normal" font="default" size="100%">39A70</style></keyword><keyword><style  face="normal" font="default" size="100%">47H05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">115</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;An existence result for some second order difference equations is given. These equations are governed by maximal monotone operators in Hilbert spaces and they are the discrete analogs of some abstract evolution equations. The main tool we use is the theory of maximal monotone operators in Hilbert spaces.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">105</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Z. Kamont</style></author><author><style face="normal" font="default" size="100%">A. Nadolski</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS AND APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Stability of Functional Difference Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35R10</style></keyword><keyword><style  face="normal" font="default" size="100%">65M12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">246</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;A theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function of one variable is presented. The error is estimated by a solution of an initial problem for nonlinear difference equation. This general result is applied to the investigation of the stability of the generalized Lax method for first order partial functional differential equations. Classical solutions of nonlinear problems are approximated in the paper by solutions of suitable quasilinear systems of difference equations. This new approach to the numerical solving of nonlinear equations is generated by a quasilinearization technique. Numerical examples are presented.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">227</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Monica Conti</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Vittorino Pata</style></author><author><style face="normal" font="default" size="100%">Marco Squassina</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">STRONGLY DAMPED WAVE EQUATIONS ON R3 WITH CRITICAL NONLINEARITIES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Strongly Damped Wave Equations on R3  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">35L05</style></keyword><keyword><style  face="normal" font="default" size="100%">58F12</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">176</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We prove the existence of a global attractor for a strongly damped semilinear wave equation in the whole space, with a quite general nonlinearity at critical growth and a nonlinear weak damping term, generalizing some previously known results.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">161</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Q-Heung Choi</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Hunan Xu</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">THE STUDY OF A WAVE EQUATION WITH JUMPING NONLINEARITY BY DUALITY FORMULATION</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">The Study of a Wave Equation  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B10</style></keyword><keyword><style  face="normal" font="default" size="100%">35B38</style></keyword><keyword><style  face="normal" font="default" size="100%">35L70</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">160</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We investigate the existence of nontrivial solutions of a nonlinear wave equation under Dirichlet boundary condition with jumping nonlinearity. We use the fact that the solutions of the equation coincide with the critical points of its corresponding dual functional. Here we apply the Mountain Pass Theorem to find the nontrivial solutions.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">147</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Rossella Bartolo</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Anna Germinario</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">TIMELIKE SPATIALLY CLOSED TRAJECTORIES UNDER A POTENTIAL ON SPLITTING LORENTZIAN MANIFOLDS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Timelike Spatially Closed Trajectories  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword><keyword><style  face="normal" font="default" size="100%">83C10</style></keyword><keyword><style  face="normal" font="default" size="100%">83C50</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/2/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">205</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We study the periodic motions of a relativistic particle submitted to the action of an external potential V . On a wide class of Lorentzian manifolds, we find timelike solutions of a differential equation (depending on V ) closed in the spatial component and satisfying a Dirichlet condition in the temporal one. We prove a multiplicity result for the critical points of the (strongly indefinite) functional associated to the problem, using a saddle type theorem based on the notion of relative category. The periodicity of the problem, the non–compactness of the manifold and the lack of some assumptions involving the relative category make necessary to use a suitable penalization scheme and a Galerkin approximation.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">177</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kazuyuki Yamauchi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON AN UNDERLYING STRUCTURE FOR THE CONSISTENCY OF VISCOSITY SOLUTIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">On an Underlying Structure  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">06A06</style></keyword><keyword><style  face="normal" font="default" size="100%">49L25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">129</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;To consider phenomena of physics and economics, we need solutions in weak sense, one of which is the viscosity solution. Its definition has many variations to indicate the uniqueness and the existence of solutions. This paper attempts to give a framework which unifies viscosity solutions synthetically.&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">117</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Janos Karsai</style></author><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">CHUANXI QIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF OSCILLATOR EQUATIONS WITH SUBLINEAR DAMPING</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword><keyword><style  face="normal" font="default" size="100%">34D05</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We consider the nonlinear equation $${ x′′ + g(x ′ ) + f(x) = 0 \ \ \ (t ≥ 0),}$$ where the functions ${f}$ and ${g}$ satisfy the sign condition and ${g}$ is sublinear. It is known that if ${ f(x) = x}$ and ${ g(y) = by \ (|b| ≤ 2) }$ or ${f(x) = x }$ and ${g(y) = |y|^β sign \ y,&amp;nbsp; \ β &amp;gt; 1,}$ then the solutions are oscillatory. As a consequence of a more general result, we prove that if ${ f(x) = x }$ and ${g(y) = |y|^β \ sign \ y, \ 0 &amp;lt; β &amp;lt; 1,}$ i.e., ${g}$ is sublinear, then the solutions are eventually monotonic, and we give estimates for their asymptotic behavior.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">49</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Xilin Fu</style></author><author><style face="normal" font="default" size="100%">Liqin Zhang</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON BOUNDEDNESS AND STABILITY IN TERMS OF TWO MEASURES FOR DISCRETE SYSTEMS OF VOLTERRA TYPE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider the discrete system of Volterra type. By using Razumikhin techniques, we establish several boundedness and stability criteria for this system in terms of two measures.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">61</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Henry A. Warchall</style></author><author><style face="normal" font="default" size="100%">Fred B. Weissler</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HIDDEN GROUND STATES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword><keyword><style  face="normal" font="default" size="100%">34C23</style></keyword><keyword><style  face="normal" font="default" size="100%">35J65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;For semilinear elliptic equations in multidimensional Euclidean space, we show there exist nonlinearities that give rise to ground state solutions that cannot be found by shooting. These ground states are members of a one-parameter family of solutions whose overall character does not undergo transition at the parameter value corresponding to the hidden ground state. We construct nonlinearities of this type by perturbing nonlinearities of well-studied types.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">73</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Burkhard Lenze</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYPERBOLIC SIGMA-PI NEURAL NETWORK OPERATORS APPLIED TO IMAGE PROCESSING AND RECONSTRUCTION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26E40</style></keyword><keyword><style  face="normal" font="default" size="100%">41A05</style></keyword><keyword><style  face="normal" font="default" size="100%">41A63</style></keyword><keyword><style  face="normal" font="default" size="100%">92B20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/2.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we recall how to design three-layer feedforward neural network operators based on hyperbolic sigma-pi units in order to act as approximation and interpolation devices for regular gridded data. The basic part of the paper consists of an application of this strategy in connection with image processing and reconstruction.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">17</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Yakov Alber</style></author><author><style face="normal" font="default" size="100%">Simeon Reich</style></author><author><style face="normal" font="default" size="100%">David Shoikhet</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ITERATIVE APPROXIMATIONS OF NULL POINTS OF UNIFORMLY ACCRETIVE OPERATORS WITH ESTIMATES OF THE CONVERGENCE RATE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H06</style></keyword><keyword><style  face="normal" font="default" size="100%">47H17</style></keyword><keyword><style  face="normal" font="default" size="100%">65J15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/6/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we study the implicit scheme $${ x_n = x_{n−1} − α_nx′_n , \ x′_n \ ∈ \ Ax_n, \ \&amp;nbsp; n = 1, 2, ...,}$$ where ${ A : D → X }$is a uniformly accretive set-valued operator satisfying the range condition and ${D}$&amp;nbsp;is a closed subset of a Banach space ${X}$. We present, in particular, a convergence theorem with estimates of the convergence rate and establish the stability of the method with respect to perturbations of the operator ${A}$. A result on the asymptotic behavior of the resolvents of ${A}$ is also included.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">89</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kazuo Ito</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">LOSS OF CONVEXITY OF COMPACT HYPERSURFACES MOVED BY SURFACE DIFFUSION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K99</style></keyword><keyword><style  face="normal" font="default" size="100%">80A22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We give a way of constructing a compact, closed, strictly convex hypersurface which loses convexity without developing singularities when it moves by its surface diffusion for a short time.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">105</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Wan Se Kim</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLICITY RESULT FOR PERIODIC SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K20</style></keyword><keyword><style  face="normal" font="default" size="100%">35K55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Ambrosetti-Prodi type multiplicity for periodic solutions of semilinear parabolic equations with coercive growth nonlinear term is treated.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">135</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Frank Stenger</style></author><author><style face="normal" font="default" size="100%">Elaine Cohen</style></author><author><style face="normal" font="default" size="100%">Richard Riesenfeld</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">RADIAL FUNCTION METHODS OF APPROXIMATION BASED ON USING HARMONIC GREEN’S FUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">41A30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we present an explicit method of radial basis function approximation over ${ \mathbb{R}^n }$, using the Green’s function for Laplace’s equation. We prove convergence of the scheme for all functions that are continuous and of compact support. Interesting variants of formulae result, in cases when lower dimensional formulae are used to construct higher dimensional ones, and in cases of periodic functions. Various explicit operations are possible on the derived formulae, such as obtaining Fourier and Hilbert transforms.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DRUMI BAINOV</style></author><author><style face="normal" font="default" size="100%">Emil Minchev</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLVABILITY OF THE NONLINEAR SCHRODINGER EQUATION IN  NONCYLINDRICAL DOMAIN</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35Q55</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">7</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Existence and uniqueness of solutions of the nonlinear Schr¨odinger equation in noncylindrical domain are studied in certain functional spaces.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">127</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. Chipot</style></author><author><style face="normal" font="default" size="100%">L. Kis</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOME CLASS OF VARIATIONAL INEQUALITIES AND THEIR REGULARITY PROPERTIES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J25</style></keyword><keyword><style  face="normal" font="default" size="100%">35J85</style></keyword><keyword><style  face="normal" font="default" size="100%">49J40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we develop a regularity theory for variational inequalities of nonlocal type. Using the Lagrange multipliers idea the solution of the variational inequality is shown to be also solution of an equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">27</style></section></record></records></xml>