<?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%">SHAPOUR HEIDARKHANI</style></author><author><style face="normal" font="default" size="100%">YU TIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THREE SOLUTIONS FOR A CLASS OF GRADIENT KIRCHHOFF-TYPE SYSTEMS DEPENDING ON TWO PARAMETERS</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%">47J10</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/20/37-DSA-517.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 shall discuss the existence of at least three solutions for the class of two-point boundary value Kirchhoff-type systems&lt;/p&gt;

&lt;p&gt;( −Ki( Rb a |u ′ i (x)| 2dx)u ′′ i = λFui (x, u1, . . . , un) + µGui (x, u1, . . . , un), ui(a) = ui(b) = 0&lt;/p&gt;

&lt;p&gt;for 1 ≤ i ≤ n. The approach is fully based on a recent three critical points theorem of B. Ricceri [A three critical points theorem revisited, Nonlinear Anal. 70/9 (2009) 3084–3089]&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">551</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%">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></records></xml>