<?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%">Hunan Xu</style></author><author><style face="normal" font="default" size="100%">Q-Heung Choi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Nontrivial Solutions of a Nonlinear Wave Equation with Jumping Nonlinearity</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B10</style></keyword><keyword><style  face="normal" font="default" size="100%">35B38</style></keyword><keyword><style  face="normal" font="default" size="100%">35L05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</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;In this paper we study the multiplicity of nontrivial solutions for nonlinear wave equation of the form${&amp;nbsp; u_{tt} − u_{xx} = b[(u + 1)^+ − 1] }$ in ${ (c, d) × \mathbb{R} }$ with Dirichlet boundary condition on the interval ${ c &amp;lt; x &amp;lt; d }$. We find the multiple nontrivial solutions of the equation. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">465</style></section></record></records></xml>