<?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%">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>