<?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%">Cemil Tunc</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY AND BOUNDEDNESS IN VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH 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%">34D05</style></keyword><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</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/26/1/6.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%">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, a class of non-linear vector Volterra integro-differential equations of first order with constant delay is considered. The stability and boundedness of solutions are investigated. The technique of proofs involves defining appropriate Lyapunov functionals. The obtained results include and improve the results obtained in literature.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><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%">FANWEI MENG</style></author><author><style face="normal" font="default" size="100%">LIANZHONG LI</style></author><author><style face="normal" font="default" size="100%">YUZHEN BAI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Ψ-STABILITY OF NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL 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%">45J05</style></keyword><keyword><style  face="normal" font="default" size="100%">45M10</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/20/38-DSA-523.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, we give some sufficient conditions for Ψ-(uniform) stability of the trivial solution of the nonlinear differential systems and of a nonlinear Volterra integro-differential system.&lt;/p&gt;
</style></abstract><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%">RUI A. C. FERREIRA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF SOLUTION TO AN INTEGRODYNAMIC EQUATION</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%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">26D15</style></keyword><keyword><style  face="normal" font="default" size="100%">39A12</style></keyword><keyword><style  face="normal" font="default" size="100%">45J05</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/19/21-DSA-264.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;We prove existence of solution to an integrodynamic equation on time scales under some suitable conditions on the functions involved. In some particular cases, uniqueness is also demonstrated. Some applications of our results are provided.&lt;/p&gt;
</style></abstract><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%">BASHIR AHMAD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INTEGRO-DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE</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%">34D10</style></keyword><keyword><style  face="normal" font="default" size="100%">34D99</style></keyword><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%">2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/16/497-506-Ahmad.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%">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 apply Lakshmikantham’s generalized quasilinearization method to an initial value problem involving a nonlinear integro-differential equation with initial time difference and obtain monotone sequences of lower and upper solutions converging uniformly and quadratically to the unique solution of the problem.&lt;/p&gt;
</style></abstract><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%">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%">SETVALUED PERTURBED HYBRID INTEGRO-DIFFERENTIAL EQUATIONS AND STABILITY IN TERMS OF TWO MEASURES</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%">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%">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/16/299-310-DSA-26-14-Ahmad.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%">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 some stability criteria in terms of two measures for setvalued perturbed hybrid integro-differential equations 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;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">299</style></section></record></records></xml>