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一类时滞中立型泛函微分方程的周期解的存在性和全局吸引性
引用本文:潘春梅,罗芳琼,姚晓洁.一类时滞中立型泛函微分方程的周期解的存在性和全局吸引性[J].柳州师专学报,2007,22(4):109-117.
作者姓名:潘春梅  罗芳琼  姚晓洁
作者单位:柳州师范高等专科学校,数学与计算机科学系,广西,柳州,545004
摘    要:利用重合度理论中的延拓定理和Lyapunov泛函方法,获得了一类时滞中立型泛函微分方程周期解的存在性和全局吸引性的一些充分条件,推广和改进了已有文献的相关结果.

关 键 词:中立型泛函微分方程  时滞  周期解  存在性  全局吸引性
文章编号:1003-7020(2007)04-0109-09
修稿时间:2007-05-25

The Existence and All-attraction of Periodic Solutions to a Kind of Time Delay Neutral Functional Differential Equation
PAN Chun-mei,LUO Fang-qiong,YAO Xiao-jie.The Existence and All-attraction of Periodic Solutions to a Kind of Time Delay Neutral Functional Differential Equation[J].Journal of Liuzhou Teachers College,2007,22(4):109-117.
Authors:PAN Chun-mei  LUO Fang-qiong  YAO Xiao-jie
Institution:Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi 545004, China
Abstract:A time delay neutral functional differential equation is obtained from the constructing theorem of coincidence degree theory and Lyapunov functional method.With sufficient conditions of the existence and all-attraction of periodic solutions,the related results in other literatures have extended or improved.
Keywords:words:Neutral Functional Differential Equation  time delay  periodic solution  existence  all-attraction
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