一阶时滞概周期微分方程概周期解的存在性

摘要

文章主要是研究一阶时滞概周期微分方程概周期解的存在性,首先将线性概周期微分方程的Favard定理推广到了带时滞的情形,得到了广义的Favard定理,然后利用不动点定理结合指数二分性,得到一阶概周期微分方程概周期解的存在性.%The existence of almost periodic solution of first order delay almost periodic differential equations was studied. Firstly,we extend the Favard theorem of linear almost periodic differential equation to the case with delay , and obtain a generalized Favard theorem,and then we obtain the existence of almost periodic solution of first order almost periodic differential equation by using the fixed point theorem and the exponential dichotomy.