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.
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页码：378 / 394
页数：17
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