一类具无穷时滞中立型积分微分方程周期解的存在性与稳定性  

THE EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF A NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH INFINITE DELAY

作　　者：高莲[1] 

机构地区：[1]内蒙古农业大学理学院,呼和浩特010018

出　　处：《内蒙古农业大学学报（自然科学版）》2006年第2期138-143,共6页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

摘　　要：本文考虑具无穷时滞中立型积分微分方程周期解的存在性与稳定性.利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性,稳定性问题,推广了相关文献的主要结论.The existence and stability of periodic solutions of a neutral integro - differential equation with infinite delay were studied. By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function were dealt with, the conclusions made in the relevant documents were extended.

关 键 词：无穷时滞 周期解 指数型二分性 存在性 

分 类 号：O175.14[理学—数学]