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
收藏
页码：255 / 264
页数：10
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