摘要
本文证明了具无限时滞D算子型线性中立型泛函微分方程存在周期解当且仅当存在有界解,推广了MasseraJ.L,ChowS.N.和MakayM.的结果.
In this paper, it has been proved that, for linear neutral functional differential equations of D-operator type with infinite delay, there is a periodic solution if and only if there is a bounded solution. The results proved by Massera J. L., Chow S. N. and Makay M. are generalized.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2000年第4期695-702,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金!19871012
关键词
线性中立型泛函微分方程
无限时滞
周期解
Linear neutral functional differential equation
Infinite delay
Bounded solution
Periodic solution
Necessary and sufficient condition