Oscillation theorems for second order neutral differential equations

被引：68
|
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：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 01期
关键词：
Second order neutral differential equations; Comparison theorem; Oscillation; Nonoscillation; CRITERIA;
D O I：
10.1016/j.camwa.2010.10.035
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 oscillation of the second order neutral differential equations (r(t) [x(t) + p(t)x(tau(t))]')' + q(t)x(sigma(t)) = 0. (E) The obtained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation. The obtained comparison principles essentially simplify the examination of the studied equations. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：94 / 99
页数：6
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