<?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%">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%">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%">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%">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%">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%">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></records></xml>