<?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%">LYNN ERBE</style></author><author><style face="normal" font="default" size="100%">TAHER S. HASSAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">COMPARISON THEOREMS FOR HIGHER ORDER FORCED NONLINEAR FUNCTIONAL DYNAMIC EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K11</style></keyword><keyword><style  face="normal" font="default" size="100%">39A10</style></keyword><keyword><style  face="normal" font="default" size="100%">39A99</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/6.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%">16</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The purpose of this paper is to establish comparison criteria for higher order forced nonlinear dynamic equation with mixed nonlinearities $${ \left\{&amp;nbsp; r_{n−1}(t) (r_{n−2}(t)(· · ·(r_1(t)x^∆(t))^∆ · · ·)^∆)^∆&amp;nbsp; \right\}^∆ + \sum_{j=0}^{N} &amp;nbsp;p_j (t) ϕ_{γ_j} ( x (\varphi_j (t)) &amp;nbsp;= g(t) , }$$ on an above-unbounded time scale${ \mathbb{T} }$, where ${ n ≥ 2}$. The results improve the main results of a number of recent papers and are established for a time scale ${ \mathbb{T} }$ without assuming certain restrictive conditions on ${ \mathbb{T} }$.&lt;/p&gt;

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</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">79</style></section></record></records></xml>