利用锥不动点定理研究一类具有分布滞量的微分方程正周期解的存在性

Using Cone Fixed Point Theorem to Study the Positive Periodic Solution for a Differential Equation with Distributed Delay

本文主要利用Green函数的性质,通过验证Krasnoselskii不动点定理中锥拉伸或锥压缩的条件来获得周期正解的存在性.通过使用Krasnoselskii锥不动点定理,研究了一类具有分布滞量的微分方程正周期解的存在性.

In this article, we mainly use the property of the Green＇ s Functions to verify the coneexpansion and compression of Krasnoselskii cone fixed point theorem which＇had been applied to study the distributed delay functional differential equations. By using of the nature of Krasnoselskii fixed - Point theorem, we obtained the sufficient solutions for the existence of positive solutions. We acquired the existence of the positive periodic solution for a differential equation with distributed delay.