具无限时滞的高维中立型脉冲积分微分方程概周期解的存在性  

The Existence of Almost Periodic Solution of the Higher Dimensional Neutral Integro-Differential Equation with Impulsive and Infinite Delay

作　　者：林远华[1] 冯春华[2] 

机构地区：[1]河池学院数学系,广西宜州546300 [2]广西师范大学数学科学学院,广西桂林541004

出　　处：《四川师范大学学报（自然科学版）》2011年第6期798-804,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10961005);广西教育厅科研基金(200911LX399;201010LX463)资助项目

摘　　要：利用线性系统指数二分性理论和不动点定理,研究了一类具无限时滞的高维中立型脉冲积分微分方程概周期解的存在性问题,获得了保证中立型系统概周期解存在性和唯一性的充分条件,推广了相关文献的主要结果.In the paper, the existence and uniqueness of almost periodic solution of the higher dimensional neutral integro-differential equation with impulsive and infinite delay are studied. By using the theory of exponential dichotomy of linear system and fixed point theorem, some sufficient conditions that guarantee the existence and uniqueness of almost periodic solution of the system are obtained. The conclusions made in the relevant documents is extended.

关 键 词：无穷时滞 脉冲方程 概周期解 存在性 

分 类 号：O175.1[理学—数学]