摘要
本文讨论如下二阶具连续分布变偏差的中立型泛函微分方程解的渐近性.文中假设0<c<1,τ>0;p,g:R^+×[a,b]→R^+连续,R^+=[0,+∞);g(t,ξ)关于t,ξ分别是非减的;对于ξ∈[a,b]有g(t,ξ)≤t以及lim g(t,ξ)=+∞;σ:[a,b]→(-∞,+∞)非减;方程中的积分为Stieltjes积分.
In this paper we discuss the asymptotic behavior for the following second orderneutral functional differential equationx'(t) - cx'(t-τ) + integral from n=a to b(p(t,ξ)x[g(t,ξ)]dσ(ξ)=0,only three types of asymptotic behavior of nonoscillatory solutions satisfyingx(t)[x(t)-cx(t-τ)]>0are obtained and their criteria are given.
出处
《应用数学学报》
CSCD
北大核心
1990年第3期285-291,共7页
Acta Mathematicae Applicatae Sinica
