Oscillation theorems for third order neutral differential equations

被引：0
|
作者：
Baculikova, Blanka [1 ]
Dzurina, J. [1 ]
机构：
[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Kosice 04200, Slovakia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2012年 / 28卷 / 02期
关键词：
Third-order neutral differential equations; comparison theorem; oscillation; nonoscillation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the asymptotic properties and the oscillation of the third order neutral differential equations (E) (r(t) [x(t) + p(t)x(tau(t))]'')' + q(t)x(sigma(t)) = 0. Obtained results are based on the new comparison theorems, that permit to reduce the problem of the oscillation of the third order equation to the oscillation of the couple of the first order equation. Obtained comparison principles essentially simplify the examination of the studied equations.
引用
收藏
页码：199 / 206
页数：8
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