摘要
考察一类高阶中立型泛函微分方程非振动解的渐近性态 。
This paper presents asymptotic behavior of nonoscillatory solutions of the following equations(x(t)+c(t)x(t-d)) (n)+f(t,x(g 1(t)),x(g 2(t)),...,x(g m(t)))=0First, the classification of the nonoscillatory solutions of the equations under condition of -1<c(t)<0 is given.Then, the sufficient and necessary conditions that the equations have nonoscillatory solutions are obtained.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2002年第2期4-7,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目 (6 0 0 740 39)
关键词
高阶中立型泛函微分方程
非振动解
渐近性态
充要判据
压缩算子
higher order neutral type
functional differential equation
nonoscillatory solution
asymptotic behavior