具非正系数的二阶中立型泛函微分方程的渐近性  

Asymptotic Behavior of Second Order Neutral Functional Differential Equations with Nonpositive Coefficient

作　　者：傅希林[1] 张立琴[1] 

机构地区：[1]山东师范大学数学系,济南250014

出　　处：《应用数学》1994年第3期343-348,共6页Mathematica Applicata

摘　　要：本文讨论一类具非正系数的二阶中立型泛函微分方程非振动解的渐近性类型与判别,我们给出了非振动解的四种渐近性类型及其判别准则,这些判别准则都是充分必要条件。In this paper we consider the second order neutral functional differential equation with nonpositive coefficient where r>0,p(t)>0, -1<c(t)<0,g(t)<t and limgt→∞(t) = +∞. Only four types of nonoscillatory solutions are given,and ciriteria for every type of nonoscil-latory solutions are obtained. All of these criteria are the necessary and sufficient conditions.

关 键 词：泛函微分方程 渐近性 中立型 

分 类 号：O175.15[理学—数学]