一类含有无限时滞的中立型泛函微分方程的周期解问题

The problem of periodic solutions to a kind of neutral functional differential equation with infinite delay

对一类含有无限时滞的积分微分方程周期解的存在性问题展开讨论,主要利用Krasnoselskii不动点定理、矩阵测度理论和泛函分析方法,讨论了一类中立型积分微分系统周期解的存在性的充分条件,对相关结果做了推广,并在最后举例说明了定理的应用.

In this paper,the existence of periodic solution for differential equations with infinite delay was considered.By combining the Krasnoselskii＇s fixed point theory,theory of matrix measure and the method of functional analysis,some sufficient conditions on the existence of periodic solutions of systems were obtained,and an example was given to illustrate the main results of this paper.