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具无限时滞线性中立型泛函微分方程周期解 被引量:9

Periodic Solutions of Linear Neutral Functional Differential Equations with Infinite Delay
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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.
作者 范猛 王克
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
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