<?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%">RAVI AGARWAL</style></author><author><style face="normal" font="default" size="100%">SNEZHANA HRISTOVA</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%">ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY</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%">differential equations</style></keyword><keyword><style  face="normal" font="default" size="100%">existence</style></keyword><keyword><style  face="normal" font="default" size="100%">non-instantaneous impulses</style></keyword><keyword><style  face="normal" font="default" size="100%">state dependent delay</style></keyword><keyword><style  face="normal" font="default" size="100%">Ulam type stability</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%">10/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/28/1/3.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%">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 a system with state dependent bounded delay and&amp;nbsp;non-instantaneous impulses is considered. An existence result based on the Banach&amp;nbsp;contraction principle is given. Several sufficient conditions for Ulam-type stability are&amp;nbsp;obtained. An example is given to illustrate 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%">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%">RAVI AGARWAL</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</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%">MONOTONE-ITERATIVE TECHNIQUES FOR MILD SOLUTIONS OF THE INITIAL VALUE PROBLEM FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES</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%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34E08</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/26/2/2.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%">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;The main aim of the paper is to suggest some algorithms to approximately solve the initial value problem for scalar nonlinear Caputo fractional differential equations with noninstantaneous impulses. The impulses start abruptly at some points and their action continue on given finite intervals. We study the case when the right hand side of the equations are monotonic functions. Several types of mild lower and mild upper solutions to the problem are defined and used in the algorithms. The convergence of the successive approximations is established. A generalization of the logistic equation is given to illustrate 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%">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%">RAVI AGARWAL</style></author><author><style face="normal" font="default" size="100%">YEOL-JE CHO</style></author><author><style face="normal" font="default" size="100%">HENG-YOU LAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS IN BANACH 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%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H15</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/16/379-392-DSA-01-AgarwalChoLan.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;In this paper, by virtue of the Mann iterative technique, we introduce and study a class of systems of nonlinear equations without any mixed monotone property and continuity, and prove the existence, uniqueness and Mann iterative approximation theorems of solutions for systems of nonlinear operator equations. The results presented in this paper improve and generalize the corresponding results of the earlier and recent works.&lt;/p&gt;
</style></abstract><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%">RAVI AGARWAL</style></author><author><style face="normal" font="default" size="100%">SVATOSLAV STANEK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR DELAY DIFFERENTIAL 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%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2007</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">16</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;Existence criteria are established for positive solutions of singular boundary value problems for nonlinear second order ordinary and delay differential equations. Here the nonlinearities may be singular at phase variables and positive solutions ‘pass through’ the singularities.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">755</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DAQING JIANG</style></author><author><style face="normal" font="default" size="100%">P. Y. H. PANG</style></author><author><style face="normal" font="default" size="100%">RAVI AGARWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UPPER AND LOWER SOLUTIONS METHOD AND A SUPERLINEAR SINGULAR DISCRETE BOUNDARY VALUE PROBLEM</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%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</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/16/743-754-Ravi-05.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%">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 the singular discrete boundary value problem    ∆[φ(∆u(t − 1))] + g(t, u(t)) = 0, t ∈ {1, 2, . . . , T}, u(0) = u(T + 1) = 0 where φ(s) = |s| p−2 s, p &amp;gt; 1, and the function g is superlinear at infinity and may change sign or be singular at u = 0. Existence of solutions is obtained via an upper and lower solutions method.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">743</style></section></record></records></xml>