<?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%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">LINGJU KONG</style></author><author><style face="normal" font="default" size="100%">MIN WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INFINITELY MANY HOMOCLINIC SOLUTIONS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH p-LAPLACIAN</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37C20</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">58E0</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/7.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%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation $${ −∆a(k)\phi_p(∆u(k − 1))&amp;nbsp;+ b(k)\phi_p(u(k)) = λf(k, u(k))), \ \&amp;nbsp; k ∈ \mathbb{Z} }$$, where ${p &amp;gt; 1}$ is a real number, ${ \phi_p(t) = |t|^{p−2} t}$&amp;nbsp; for ${ t ∈ \mathbb{R},\ \ λ &amp;gt; 0}$ is a parameter, ${ a, b : \mathbb{Z} → (0, ∞), }$ and ${ f : \mathbb{Z} × \mathbb{R} → \mathbb{R} }$ is a continuous function in the second variable. Some known work in the literature is extended.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">95</style></section></record></records></xml>