<?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%">SESHADEV PADHI</style></author><author><style face="normal" font="default" size="100%">CHUANXI QIAN</style></author><author><style face="normal" font="default" size="100%">SHILPEE SRIVASTAVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE PERIODIC SOLUTIONS FOR A FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION WITH APPLICATIONS TO POPULATION DYNAMICS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">34C27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</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%">http://www.acadsol.eu/en/articles/12/3/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we use Leggett-Williams multiple fixed point theorem to obtain several different sufficient conditions for the existence of at least three positive periodic solutions for the first order functional differential equations of the form $${ y′ (t) = −a(t)y(t) + λf(t, y(h(t))). }$$&amp;nbsp;Some applications to mathematical ecological models and population models are also given.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">341</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%">Janos Karsai</style></author><author><style face="normal" font="default" size="100%">John R. Graef</style></author><author><style face="normal" font="default" size="100%">CHUANXI QIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF OSCILLATOR EQUATIONS WITH SUBLINEAR DAMPING</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C15</style></keyword><keyword><style  face="normal" font="default" size="100%">34D05</style></keyword><keyword><style  face="normal" font="default" size="100%">34D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/6/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We consider the nonlinear equation $${ x′′ + g(x ′ ) + f(x) = 0 \ \ \ (t ≥ 0),}$$ where the functions ${f}$ and ${g}$ satisfy the sign condition and ${g}$ is sublinear. It is known that if ${ f(x) = x}$ and ${ g(y) = by \ (|b| ≤ 2) }$ or ${f(x) = x }$ and ${g(y) = |y|^β sign \ y,&amp;nbsp; \ β &amp;gt; 1,}$ then the solutions are oscillatory. As a consequence of a more general result, we prove that if ${ f(x) = x }$ and ${g(y) = |y|^β \ sign \ y, \ 0 &amp;lt; β &amp;lt; 1,}$ i.e., ${g}$ is sublinear, then the solutions are eventually monotonic, and we give estimates for their asymptotic behavior.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">49</style></section></record></records></xml>