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一类中立型无穷时滞脉冲微分方程的周期解
引用本文:赵琨,蒋芳芳,冯春华.一类中立型无穷时滞脉冲微分方程的周期解[J].集美大学学报(自然科学版),2013,0(4):302-307.
作者姓名:赵琨  蒋芳芳  冯春华
作者单位:(广西师范大学数学科学学院,广西 桂林 541004 )
基金项目:国家自然科学基金资助项目(10961005)
摘    要:利用线性系统的指数型二分性和Krasnoselskii不动点定理,研究一类中立型无穷时滞脉冲微分方程的周期解存在性问题,给出了保证系统存在周期解的一组充分条件,推广并改进了现有文献中的相关结论

关 键 词:脉冲方程  中立型  周期解  无穷时滞

The Existence of Periodic Solutions of a Neutral of Periodic Impulsive Differential System with Infinite Delay
ZHAO Kun,JIANG Fang-fang,FENG Chun-hua.The Existence of Periodic Solutions of a Neutral of Periodic Impulsive Differential System with Infinite Delay[J].the Editorial Board of Jimei University(Natural Science),2013,0(4):302-307.
Authors:ZHAO Kun  JIANG Fang-fang  FENG Chun-hua
Institution:(College of Mathematical ScienceGuangxi Normal UniversityGuilin 541004China)
Abstract:For a neutral of periodic impulsive differential system with infinite delays,the existence of periodic solutions was considered by using exponential dichotomy and fixed point theorem of Krasnoselskii.Sufficient conditions were given to guarantee t he existence of periodic solutions of these equations under some assumptions.Some results in the literature had been generalized.
Keywords:impulsive equation  neutral  periodic solution  infinite delay
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