Oscillation criteria for a first-order impulsive neutral differential equation of Euler form

被引：5

作者：

Guan, Kaizhong ^{[1
]}

Shen, Jianhua ^{[2
]}

机构：

[1] Univ S China, Res Inst Math, Hengyang 421001, Hunan, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 04期

关键词：

Oscillation; Neutral differential equation; Impulsive; Euler form; Variable delay;

D O I：

10.1016/j.camwa.2009.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the oscillation of a first-order impulsive neutral differential equation of Euler form with variable delays. Our results reveal the fact that the oscillatory behavior of all solutions of differential equations without impulses can be inherited by impulsive differential equations under certain impulsive perturbations. It is also seen that the oscillatory properties of all solutions of impulsive differential equations may be caused by the impulsive perturbations, though the corresponding differential equations without impulses admit a nonoscillatory solution. Some examples are also given to illustrate the applicability of the results obtained. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：670 / 677

页数：8

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