<?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%">A. F. GÜVENILIR</style></author><author><style face="normal" font="default" size="100%">Y. SAHINER</style></author><author><style face="normal" font="default" size="100%">A. ZAFER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MIXED NONLINEAR OSCILLATION OF SECOND ORDER FORCED DYNAMIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A13</style></keyword></keywords><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/19/45-DSA-361.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%">15</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 a technique similar to the one introduced by Kong [J. Math. Anal. Appl. 229 (1999) 258–270] and employing an arithmetic-geometric mean inequality, we establish oscillation criteria for second-order forced dynamic equations on time scales containing mixed nonlinearities of the form p(t)x ∆ ∆ + q(t)x σ + Xn i=1 qi(t)|x σ | αi−1x σ = e(t), t ≥ t0 where p, q, qi , e : T → R are right-dense continuous with p &amp;gt; 0, σ is the forward jump operator, x σ (t) := x(σ(t)), and the exponents satisfy α1 &amp;gt; · · · &amp;gt; αm &amp;gt; 1 &amp;gt; αm+1 &amp;gt; · · · αn &amp;gt; 0. The results extend many well-known interval oscillation criteria from continuous case to arbitrary time scales.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">635</style></section></record></records></xml>