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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].厦门水产学院学报,2013(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
Authors:ZHAO Kun  JIANG Fang-fang  FENG Chun-hua
Institution:(College of Mathematical Science, Guangxi Normal University, Guilin 541004, China)
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 the 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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