<?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%">LEI SHI</style></author><author><style face="normal" font="default" size="100%">HUA LIU</style></author><author><style face="normal" font="default" size="100%">YUMEI WEI</style></author><author><style face="normal" font="default" size="100%">MING MA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPLEX NON-UNIQUE DYNAMICS IN A HOST-PARASITOID MODEL INCORPORATING CLUMPING EFFECT</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C</style></keyword><keyword><style  face="normal" font="default" size="100%">65C</style></keyword><keyword><style  face="normal" font="default" size="100%">92B</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%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/28/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">28</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, computer simulation is used to study the influence of&amp;nbsp;clumping effect on the dynamic complexities of a discrete-time host-parasitoid model.&amp;nbsp;We report here parasitoid aggregation may be a strong stabilizing or destabilizing&amp;nbsp;factor. Using computer simulation, many forms of complex dynamic are observed,&amp;nbsp;including Hopf bifurcation reversal, period-halving, attractor crises, chaotic bands&amp;nbsp;with narrow or wide periodic windows, intermittent chaos, and supertransient behavior. Several types of attractors, e.g. point equilibrium vs. chaotic, periodic vs.&lt;br /&gt;
quasiperiodic and quasiperiodic vs. chaotic attractors, may coexist in the same mapping. This non-uniqueness also indicates that the bifurcation diagrams, or the routes&amp;nbsp;to chaos, depend on initial conditions and are therefore non-unique. The basins of&amp;nbsp;attraction, defining the initial conditions leading to a certain attractor, may be frac&amp;nbsp;tal set. The fractal property observed is the pattern of self-similarity. The numerical&amp;nbsp;results indicate that computer simulation is a useful method of investigating complex&amp;nbsp;dynamic systems. We also conclude that non-unique dynamic, associated with the&amp;nbsp;extremely complex structure of the basin boundaries, can have a profound effect on&amp;nbsp;our understanding of the dynamical processes of nature.&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%">BING XIE</style></author><author><style face="normal" font="default" size="100%">HONGJIE GUO</style></author><author><style face="normal" font="default" size="100%">JING LI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTINUITY OF EIGENVALUES IN WEAK TOPOLOGY FOR REGULAR STURM-LIOUVILLE PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/2/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</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;This paper is concerned with the eigenvalue problems of SturmLiouville differential expressions with general separated boundary conditions. With the aid of properties of analytic functions, only under the standard integrability conditions, we obtain the continuity of eigenvalues in the weak topology of $L^1 [a, b]$ on all the coefficient functions of the differential expressions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</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%">VERA ZEIDAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONSTRAINED LINEAR-QUADRATIC CONTROL PROBLEMS OVER TIME SCALES AND WEAK NORMALITY</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K35</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword><keyword><style  face="normal" font="default" size="100%">49K15</style></keyword><keyword><style  face="normal" font="default" size="100%">49N25</style></keyword><keyword><style  face="normal" font="default" size="100%">93B05</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</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/26/34/14.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">26</style></volume><pages><style face="normal" font="default" size="100%">36</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;Time scale linear-quadratic control problems with affine mixed state-control and joint endpoints equality constraints are considered. Without any controllability assumption, it is shown that the feasible pairs at which the first variation vanishes are exactly the feasible pairs that satisfy the weak maximum principle (called &quot;extremals&quot;) with $\lambda_0 = 1$. In this case, we say the problem is &quot;weakly normal&quot; at such feasible pairs. When a certain matrix function $S(\cdot)$ has invertible images, the weak-normality condition at $(\bar x, \bar u)$ with associated adjoint variable $\bar p$ is also equivalent to $(\bar x, \bar p)$ solving the corresponding non-homogeneous symplectic boundary value problem and to $\bar u$ being a certain affine combination of this solution. In this equivalence, the invertibility of the corresponding matrices $S(t)$ is not needed when the linear-quadratic problem is itself symplectic. As an application, it is established that without any controllability assumption, the optimality in linear-quadratic problems is characterized in terms of either the weak normality condition, or the solvability of the corresponding symplectic boundary value. These results are obtained for linearquadratic control problems with or without shift in the state variable and are new not only for the time scale setting but also for the continuous time and discrete time settings.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3&amp;4</style></issue><section><style face="normal" font="default" size="100%">627</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">VELI B. SHAKHMUROV</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE CAUCHY PROBLEM FOR GENERALIZED ABSTRACT BOUSSINESQ EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35Lxx</style></keyword><keyword><style  face="normal" font="default" size="100%">35Qxx</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">43Axx</style></keyword><keyword><style  face="normal" font="default" size="100%">47Axx</style></keyword><keyword><style  face="normal" font="default" size="100%">47Hxx</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%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</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, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equations is obtained. By applying this result, the Wentzell-Robin type mixed problem for Boussinesq equations and the Cauchy problem for finite or infinite systems of Boussinesq equations are studied.&lt;/p&gt;
</style></abstract><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%">ÖZKAN ÖZTÜRK</style></author><author><style face="normal" font="default" size="100%">ELVAN AKIN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CLASSIFICATION OF NONOSCILLATORY SOLUTIONS OF NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><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%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/13.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</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;We study the asymptotic behavior of nonoscillatory solutions of nonlinear dynamic equations on time scales. More precisely, all eventually monotone solutions of nonlinear dynamic equations can be divided into several disjoint subsets by means of necessary and sufficient integral conditions. Examples are given to illustrate some of our main results.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">219</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARIN MARIN</style></author><author><style face="normal" font="default" size="100%">EDUARD-MARIUS CRACIUN</style></author><author><style face="normal" font="default" size="100%">NICOLAE POP</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONSIDERATIONS ON MIXED INITIAL-BOUNDARY VALUE PROBLEMS FOR MICOPOLAR POROUS BODIES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B35</style></keyword><keyword><style  face="normal" font="default" size="100%">47D05</style></keyword><keyword><style  face="normal" font="default" size="100%">74A15</style></keyword><keyword><style  face="normal" font="default" size="100%">74A60.</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%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</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&gt;This paper is dedicated to some results in the thermodynamic theory of porous elastic bodies. Unlike other studies, here is included the voidage time derivative among the independent constitutive variables. In order to analyse the spatial behavior of solutions, we use some estimates of Saint-Venant type in the case of bounded bodies, while for the unbounded bodies, the spatial behavior is described by means of some estimates of Phragm´en-Lindel¨of type.&lt;/p&gt;
</style></abstract><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%">HAMED H. ALSULAMI</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%">COINCIDENCE POINTS FOR MULTIMAPS DEFINED ON SUBSETS OF FRÉCHET SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H04</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%">https://acadsol.eu/dsa/articles/24/17-dsa-221-228.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</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 coincidence points for maps defined on Fr´echet spaces. The proofs rely on the notion of a Φ-essential map and on viewing the Fr´echet space as the projective limit of a sequence of Banach spaces.&lt;/p&gt;
</style></abstract><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%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COINCIDENCE POINTS FOR MULTIVALUED MAPS BASED ON Φ-EPI AND Φ-ESSENTIAL MAPS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H04</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%">https://acadsol.eu/dsa/articles/24/11-dsa-143-154.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</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;Two approaches to establishing coincidence points for general classes of maps are presented. The first is based on the notion of a Φ-epi map and the second is based on the notion of a Φ-essential map.&lt;/p&gt;
</style></abstract><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%">NGUYEN  HA</style></author><author><style face="normal" font="default" size="100%">NGUYEN DU</style></author><author><style face="normal" font="default" size="100%">DO  THUAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE CONVERGENCE OF SOLUTIONS TO NABLA DYNAMIC EQUATIONS ON TIME SCALES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">06B99</style></keyword><keyword><style  face="normal" font="default" size="100%">34D99</style></keyword><keyword><style  face="normal" font="default" size="100%">47A10</style></keyword><keyword><style  face="normal" font="default" size="100%">47A99</style></keyword><keyword><style  face="normal" font="default" size="100%">65P99</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%">https://acadsol.eu/dsa/articles/24/36-DSA-451-466.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</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;This paper deals with the convergence of solutions to nabla dynamic equations x &lt;sup&gt;∇&lt;/sup&gt; = f (t, x) on time scales {Tn}&lt;sup&gt;∞&lt;/sup&gt;&lt;sub&gt;n=1&lt;/sub&gt; when this sequence converges to the time scale T. The convergent rate of solutions is evaluated when f satisfies the Lipschitz condition in both variables. A new approach to the approximation of dynamic equations on time scales is derived by a general view, especially the implicit Euler method for differential equations. Some examples are given to illustrate results.&lt;/p&gt;
</style></abstract><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%">PATRICIO GONZÁLEZ</style></author><author><style face="normal" font="default" size="100%">MANUEL PINTO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPONENT-WISE CONDITIONS FOR THE ASYMPTOTIC EQUIVALENCE FOR NONLINEAR DIFFERENTIAL SYSTEMS WITH MAXIMA</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A20</style></keyword><keyword><style  face="normal" font="default" size="100%">34A30</style></keyword><keyword><style  face="normal" font="default" size="100%">34A36</style></keyword><keyword><style  face="normal" font="default" size="100%">34C41</style></keyword><keyword><style  face="normal" font="default" size="100%">34D05</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%">https://acadsol.eu/dsa/articles/20/29-DSA-30-04.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;We obtain new sufficient component-wise conditions for the asymptotic equivalence between bounded solutions of linear and nonlinear systems of differential equations with maxima. A Lipschitz component-wise and a spectral condition allow us to obtain vectorial asymptotic formulae. Under a spectral dichotomy condition the equivalences take the form of a homeomorphism which is also extended to unbounded solutions. We also obtain a vectorial Levinson’s theorem with maximum about asymptotic integration.&lt;/p&gt;
</style></abstract><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%">MEIRONG ZHANG</style></author><author><style face="normal" font="default" size="100%">ZHE ZHOU</style></author><author><style face="normal" font="default" size="100%">MING LI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CLASSIFICATION OF SOLUTIONS OF ASYMMETRIC p-LAPLACIAN OSCILLATORS WITH PERIODIC COEFFICIENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34D08</style></keyword><keyword><style  face="normal" font="default" size="100%">37A25</style></keyword><keyword><style  face="normal" font="default" size="100%">37E10</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%">2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/19/11-DSA-225.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&gt;By exploiting the Denjoy theorem in topological dynamics and the unique ergodic theorem in ergodic theory, we will give a classification of all solutions of asymmetric p-Laplacian oscillators with periodic coefficients.&lt;/p&gt;
</style></abstract><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%">H. ADIBI</style></author><author><style face="normal" font="default" size="100%">XINZHI LIU</style></author><author><style face="normal" font="default" size="100%">M. SHOJAEI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONVERGENCE CRITERIA FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/19/06-DSA-06.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;This paper studies a class of nonlinear second order difference equations of the type x&lt;sub&gt;n+1&lt;/sub&gt; = f(x&lt;sub&gt;n&lt;/sub&gt;, x&lt;sub&gt;n−1&lt;/sub&gt;) / x&lt;sub&gt;n&lt;/sub&gt; , where f is symmetric and monotonic with initial conditions x−1, x0 being positive real numbers. Some sufficient conditions under which every positive solution of such equation converges to a period two solution or to the cycle {0, ∞} are established.&lt;/p&gt;
</style></abstract><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%">JOSEF DIBLIK</style></author><author><style face="normal" font="default" size="100%">IRENA HLAVICKOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMBINATION OF LIAPUNOV AND RETRACT METHODS IN THE INVESTIGATION OF THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF SYSTEMS OF DISCRETE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</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%">https://acadsol.eu/dsa/articles/18/35-DSA-183.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">18</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&gt;This contribution is devoted to a discussion of the asymptotic behavior of solutions of systems of first order nonlinear difference equations. We show that under appropriate conditions there exists at least one solution of the system considered the graph of which stays in a prescribed domain. The domains we work with are the so called polyfacial sets. In literature, retract and Liapunov type approaches are known as excellent asymptotic analysis tools. We present a method which connects both these techniques. Thanks to this, the achieved result can be applied to a substantially wider range of equations. The main result is applied to study a linear system of difference equations as well as to investigate a nonlinear system similar to the discrete scalar equation of Bernoulli’s type. Results are illustrated by detailed examples.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">507</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ARTURO DE PABLO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CRITICAL COEFFICIENTS IN BLOW-UP PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B33</style></keyword><keyword><style  face="normal" font="default" size="100%">35B35</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%">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%">https://acadsol.eu/dsa/articles/18/07-DSA-CY-7-Pablo.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">18</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 review some problems in the blow-up theory from the point of view of the coefficients involved. In particular we are interested in problems in which a competition of two opposed terms produces different behaviours; in the critical case of a balance of both terms we study the influence of a coefficient in one of them. Existence of stationary solutions or self-similar solutions plays a fundamental role.&lt;/p&gt;
</style></abstract><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%">K. BALACHANDRAN</style></author><author><style face="normal" font="default" size="100%">J.-H. KIM</style></author><author><style face="normal" font="default" size="100%">S.KARTHIKEYAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPLETE CONTROLLABILITY OF STOCHASTIC INTEGRODIFFERENTIAL SYSTEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">93B05</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%">https://acadsol.eu/dsa/articles/17/DSA-2007-043-052.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">17</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 sufficient conditions for the complete controllability of stochastic semilinear integrodifferential system in finite dimensional spaces are established. The results are obtained by using the Banach fixed point theorem. An example is provided to illustrate the technique.&lt;/p&gt;
</style></abstract><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%">NAZIM  MAHMUDOV</style></author><author><style face="normal" font="default" size="100%">MARK  MCKIBBEN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON A CLASS OF BACKWARD MCKEAN-VLASOV STOCHASTIC EQUATIONS IN HILBERT SPACE: EXISTENCE AND CONVERGENCE PROPERTIES</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</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%">https://acadsol.eu/dsa/articles/16/643-664-DSA-022.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">16</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;This investigation is devoted to the study of a class of abstract first-order backward McKean-Vlasov stochastic evolution equations in a Hilbert space. Results concerning the existence and uniqueness of solutions and the convergence of an approximating sequence of solutions (and corresponding probability measures) are established. Examples that illustrate the abstract theory are also provided.&lt;/p&gt;
</style></abstract><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%">ALEXANDER  ZASLAVSKI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON A CLASS OF SECOND ORDER INFINITE HORIZON VARIATIONAL PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">49J99</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%">https://acadsol.eu/dsa/articles/16/517-532-Zaslavski.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">16</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 consider a class of one-dimensional variational problems arising in continuum mechanics which are defined on infinite intervals. We are interested in the existence of non-constant periodic minimizers for these problems.&lt;/p&gt;
</style></abstract><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%">G.C. LI</style></author><author><style face="normal" font="default" size="100%">S.J. SONG</style></author><author><style face="normal" font="default" size="100%">B. ZHANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTROLLABILITY OF NONLINEAR INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACE WITH NONLOCAL CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><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%">https://acadsol.eu/dsa/articles/16/729-742-DSA-046.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">16</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;Sufficient conditions for controllability of nonlinear integrodifferential systems in a separable Banach space with nonlocal conditions are established. The results are obtained using a compactness type hypothesis involving the Hausdorff-measure of noncompactness, Kakutani’s fixedpoint theorem and Schauder’s fixed-point theorem.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">729</style></section></record></records></xml>