OSCILLATION OF SOLUTIONS TO THIRD-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Dzurina, Jozef [1 ]
Thandapani, Ethiraju [2 ]
Tamilvanan, Sivaraj [2 ]
机构：
[1] Tech Univ Kosice, Dept Math, Fac Elect Engn & Informat, Kosice 04200, Slovakia
[2] Univ Madras, Ramanujan Inst Adv Study Math, Madras 600005, Tamil Nadu, India
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Third-order neutral differential equation; Riccati transformation; oscillation of solutions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the oscillation of solutions to the third-order neutral differential equations (a(t) ([x(t) +/- p(t)x(delta (t))]'')(alpha))' + q(t)x(alpha)(tau(t)) = 0. Sufficient conditions are established so that every solution is either oscillatory or converges to zero. In particular, we extend the results obtain in [1] for a(t) non-decreasing, to the non-increasing case.
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页数：9
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