On Properties of Third-Order Functional Differential Equations

被引：0

作者：

Baculikova, Blanka ^{[1
]}

Dzurina, Jozef ^{[1
]}

机构：

[1] Tech Univ Kosice, Dept Math, Kosice 04200, Slovakia

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS | 2013年 / 47卷

关键词：

Third-order differential equations; Comparison theorem; Oscillation; Nonoscillation; OSCILLATION;

D O I：

10.1007/978-1-4614-7333-6_19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to offer sufficient conditions for all nonoscillatory solutions of the third-order functional differential equation [a(t) [x'(t)](gamma) + p(t)x(beta)(tau(t)) = 0 tend to zero. Our results are based on the new comparison theorems. Studied equation is in a canonical form, i.e., integral(infinity) a(-1/gamma)(s)ds = infinity, and we consider both delay and advanced case of it. The results obtained essentially improve and complement earlier ones.

引用

页码：255 / 264

页数：10

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