半线性抛物型泛函微分方程的周期解

Periodic Solutions of Semilinear Parabolic Functional Differential Equations

本文应用上下解的概念及schauder不动点定理,在较广泛的条件下,解决了半线性抛物型泛函数微分方程周期解的存在性问题.所得结果推广了文献[3]的定理1.2.

In this paper, We use the idea of sub-supersolutions and Schauder' s fixed-point theorem, under certain conditions, to prove the existence of periodic solution of semilinear parabolic functional differential equations of second order. The result extends the theorem 1. 2 in paper [3].