无限时滞中立型泛函微分方程和积分差分方程的周期解  

Periodic Solutions of Neutal Functional Differential Equations with Infinite Delay and Integral Difference Equations

作　　者：张入元[1] 王志成[1] 

机构地区：[1]湖南大学应用数学系,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2000年第S1期1-13,共13页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目! ( 1 9971 0 2 6;1 980 1 0 3 0 )

摘　　要：运用 Fourier分析和线性算子理论 ,获得无限时滞的线性NFDE的两种类型和无限时滞的线性积分差分方程有关周期解存在性的充分必要条件 .结论包含了已知的结果 .作为应用 ,最后讨论了中立型微分差分方程的周期解的存在性与稳定性 .Applying Fourier analysis and linear operator thoery,the necessary and sufficient conditions are obtained for the existence of periodic solutions of two types of linear NFDE and integral difference equations with infinite delay in this paper.Our hypothesize is more general than previous.As an application,the existence and stability of periodic solutions of neutal differential difference equations are discussed at last.

关 键 词：周期解 FOURIER分析 存在性 

分 类 号：O175.7[理学—数学]