Oscillation and nonoscillation for second order linear impulsive differential equations

被引：11

作者：

Huang, CC

机构：

[1] Department of Mathematics, Fuzhou University, Fuzhou, Fujian

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 214卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jmaa.1997.5572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the oscillation and nonoscillation for the second order linear impulsive differential equation u '' = -p(t)u, where p(t) is an impulsive function defined by p(t) = Sigma(n=1)(infinity)a(n) delta(t - t(n)), and we establish a necessary and sufficient condition for oscillation (or nonoscillation) of the equation u '' =-p(t)u. We give some sufficient conditions for the oscillation and nonoscillation in two particular cases. (C) 1997 Academic Press.

引用

页码：378 / 394

页数：17

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