Oscillation of third-order nonlinear differential equations

被引：61

作者：

Baculikova, B. ^{[1
]}

Dzurina, J. ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Kosice 04200, Slovakia

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 04期

关键词：

Third-order functional differential equations; Oscillation; Nonoscillation; Comparison theorem; CRITERIA;

D O I：

10.1016/j.aml.2010.10.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this work is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation [a(t) [x ''(t)](gamma)]' q(t)f(x [tau(t)]) = 0. (E) Applying suitable comparison theorems we present new criteria for oscillation or certain asymptotic behaviors of nonoscillatory solutions of Eq. (E). The results obtained essentially improve and complement earlier ones. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：466 / 470

页数：5

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