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脉冲泛函微分方程的正周期解
引用本文:姚志健.脉冲泛函微分方程的正周期解[J].数学的实践与认识,2010,40(6).
作者姓名:姚志健
作者单位:安徽建筑工业学院,数理系,安徽,合肥,230601
基金项目:安徽省教育厅自然科学项目(KJ2008B236)
摘    要:运用Leray-Schauder不动点定理研究一类脉冲泛函微分方程的正周期解的存在性,获得了存在正周期解的充分条件,改进了已知文献中的结果.

关 键 词:周期解  脉冲泛函微分方程  Leray-Schauder不动点定理

Positive Periodic Solution of Impulsive Functional Differential Equation
YAO Zhi-jian.Positive Periodic Solution of Impulsive Functional Differential Equation[J].Mathematics in Practice and Theory,2010,40(6).
Authors:YAO Zhi-jian
Institution:YAO Zhi-jian (Department of Mathematics , Physics Anhui Institute of Architecture , Industry,Hefei 230601,China)
Abstract:In this paper,we investigate the existence of positive periodic solutions of impulsive functional differential equations by using Leray-Schauder theorem.Some sufficient conditions for the existence of positive periodic solutions are obtained,which improve the results of literature.
Keywords:periodic solution  impulsive functional differential equation  leray-schauder theorem  
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