<?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%">JEFFREY T. NEUGEBAUER</style></author><author><style face="normal" font="default" size="100%">CHARLEY L. SEELBACH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A DIFFERENCE EQUATION WITH DIRICHLET BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">ЦАА</style></alt-title><short-title><style face="normal" font="default" size="100%">A Difference Equation with Dirichlet Boundary Conditions  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39A10</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%">03/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/2/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</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;A recent Avery et al. fixed point theorem is applied to show the existence of a positive solution of the second order difference equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$\Delta^{2}u\left(k\right)+f\left(u\left(k\right)\right),\quad k\in\left\{0,1,...,N\right\},$$&lt;/p&gt;

&lt;p&gt;with boundary conditions&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$u\left(0\right)=u\left(N+2\right)=0.$$&lt;/p&gt;

&lt;p&gt;An example is also given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">237</style></section></record></records></xml>