ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO HIGHER ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

被引：0

作者：

Liang, Haihua ^{[1
]}

机构：

[1] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Higher order differential equation; delay differential equation; asymptotic behavior; oscillation; OSCILLATION THEOREMS; CRITERIA;

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 and asymptotic behavior of solutions to the nonlinear delay differential equation x((n+3))(t) + p(t)x((n))(t) + q(t)f(x(g(t))) = 0. By using a generalized Riccati transformation and an integral averaging technique, we establish sufficient conditions for all solutions to oscillate, or to converge to zero. Especially when the delay has the form g(t) = alpha t - tau, we provide two convenient oscillatory criteria. Some examples are given to illustrate our results.

引用

页数：12

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