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.
出处
《应用数学》
CSCD
北大核心
1994年第3期343-348,共6页
Mathematica Applicata
关键词
泛函微分方程
渐近性
中立型
Neutral functional differential equation
Asymptotic behaviors
