<?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%">YU TIAN</style></author><author><style face="normal" font="default" size="100%">DAQING JIANG</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%">EXISTENCE OF POSITIVE SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS WITH IMPULSE EFFECTS</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%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34b18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B37</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-2007-167-184.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%">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;This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problems with impulse effects. By imposing different conditions on nonlinearity, we establish various of existence results. Besides, some results generalize Jiang [5] for ordinary differential equations. In particular, nonlinearity involving the first derivative of x is considered.&lt;/p&gt;
</style></abstract><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%">WEIMIN HU</style></author><author><style face="normal" font="default" size="100%">DAQING JIANG</style></author><author><style face="normal" font="default" size="100%">GEXIN LUO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE THEORY FOR SINGLE AND MULTIPLE SOLUTIONS TO SINGULAR DISCRETE BOUNDARY VALUE PROBLEMS OF SECOND-ORDER 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%">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%">https://acadsol.eu/dsa/articles/17/DSA-2007-221-234.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%">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 of single and multiple solutions to the singular discrete boundary value problem    ∆2x(i − 1) + q1(i)f1(i, x(i), y(i)) = 0, i ∈ {1, 2, . . . , T}, ∆2y(i − 1) + q2(i)f2(i, x(i), y(i)) = 0, x(0) = x(T + 1) = y(0) = y(T + 1) = 0, where nonlinear term fk(i, x, y) may be singular at (x, y) = (0, 0), k = 1, 2.&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%">DAQING JIANG</style></author><author><style face="normal" font="default" size="100%">JIFENG CHU</style></author><author><style face="normal" font="default" size="100%">YING HE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE POSITIVE SOLUTIONS OF STURM-LIOUVILLE PROBLEMS FOR SECOND ORDER IMPULSIVE DIFFERENTIAL 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%">34A37</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</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/16/611-624-DSA-016.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%">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 devoted to study the existence of multiple positive solutions for the second order Sturm-Liouville problems with impulse effects. The proof is based on the theory of fixed point index in cones.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">611</style></section></record></records></xml>