<?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%">H. ADIBI</style></author><author><style face="normal" font="default" size="100%">XINZHI LIU</style></author><author><style face="normal" font="default" size="100%">M. SHOJAEI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONVERGENCE CRITERIA FOR A CLASS OF SECOND-ORDER DIFFERENCE EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/19/06-DSA-06.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%">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 studies a class of nonlinear second order difference equations of the type x&lt;sub&gt;n+1&lt;/sub&gt; = f(x&lt;sub&gt;n&lt;/sub&gt;, x&lt;sub&gt;n−1&lt;/sub&gt;) / x&lt;sub&gt;n&lt;/sub&gt; , where f is symmetric and monotonic with initial conditions x−1, x0 being positive real numbers. Some sufficient conditions under which every positive solution of such equation converges to a period two solution or to the cycle {0, ∞} are established.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">73</style></section></record></records></xml>