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.

引用

页数：9

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