具有无穷时滞的二阶中立型泛函微分方程的周期解

Periodic Solution of Second Order Neutral Functional Differential Equation with Infinite Delay

本文应用压缩映像原理讨论二阶中立型无穷时滞周期微分方程x(t)+a(t)x(t)=t∫-∞g(t,s,x(s))ds+t-∞∫h(t,s,x(¨s))ds+f(t,x(t))的ω-周期解的存在性。

This paper concernes about the existence of periodic solution for a class of second order neutral functional differential equations with infinite delay.Under the appropriate conditions,some existences of periodic solutions are derived by using Abstract fixed-point theorem.