一类带有偏差变量的微分方程的振动性Oscillation Behavior of A Class of Differential Equations with piecewise Arguments
王幼斌,张玉珠
摘要(Abstract):
本文讨论带有偏差变量的微分方程的振动性,对于形如x'(t)+p(t)x(t-τ)+q(t)x([t-k])=0和X'(t)+sum from i=1 to m pi(t)x(t-τ_i)+sum from i=1 to m qj(t)x([t-k_j])=0的微分方程,得出了几个振动性的判别准则。其中[·]是最大取整函数。
关键词(KeyWords): 微分方程;振动性;偏差变量
基金项目(Foundation):
作者(Author): 王幼斌,张玉珠
参考文献(References):
- 1 K Gopalsamy, I Gyori, G ladas.Oscillations of a class of delay cquation with continuous and picccwisc constant arguments.Funkcinl Ekiac,1989, 32: 395~496
- 2 G S Ladde, V Lakshmikantham, B G Zhang.Qscillation Thcory of Differcniial Equations with Deviating Arguments.Mareel Dekker, Inc.New York and Bascl: 1987
- 3 A R Aflabizeh, J Wiener.Qscillalory properties of First Order Linear Functional Differential Equations, Proc.Apolicabic Analysis, 1985, 20:165~187