一类中立型无穷时滞脉冲微分方程的周期解  

The Existence of Periodic Solutions of a Neutral of Periodic Impulsive Differential System with Infinite Delay

作　　者：赵琨[1] 蒋芳芳[1] 冯春华[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《集美大学学报（自然科学版）》2013年第4期302-307,共6页Journal of Jimei University：Natural Science

基　　金：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.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.

关 键 词：脉冲方程 中立型 周期解 无穷时滞 

分 类 号：O175.1[理学—数学]