一类脉冲泛函微分方程正周期解的存在性

Existence of positive periodic solutions to a class of functional differential equations with Impulse Effects

利用范数形式的锥拉伸和锥压缩不动点定理研究一类脉冲泛函微分方程的正周期解问题.首先给出证明本文主要结果要用到的主要引理,然后给出了这类方程正周期解存在性的若干结果.

In this paper, by using a fixed point theorem on cone compression and expansion of norm type,we study the positive periodic solutions for a class of functional differential equations with impulse effects. Firstly,some lemmas which will be used in this paper are stated. Then some results of the existence of positive solutions about the kind of equations are obtained.