一类时滞脉冲微积分方程的正概周期解  

Positive Almost Periodic Solutions for a Class of Integro-differential Equation with Impulses and Infinite Delays

作　　者：薛晋栋[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：《广西师范大学学报（自然科学版）》2012年第4期48-53,共6页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10961005)

摘　　要：本文利用指数二分性理论及不动点定理,研究一类无穷时滞脉冲微分积分方程的正概周期解的存在性,得出保证方程存在正概周期解的一组充分条件,推广了相关文献的主要结论。By applying the theory of exponential dichotomy and the fixed point theorem,the existence and uniqueness of positive almost periodic solutions for a class of integro-differential equation with impulses and infinite delays is investigated. A sufficient condition which ensures the existence of positive almost periodic solutions is derived. The conclusion made in the relevant documents is extended.

关 键 词：指数二分性 不动点定理 概周期解 脉冲 时滞 

分 类 号：O175.1[理学—数学]