一类具多时滞的脉冲微分方程正周期解的存在性

Positive Periodic Solutions for A Class of Impulsive Functional Differential Equations with Several Delays

通过应用拓扑度的方法,给出了在一个周期环境下一类二维具多时滞的脉冲微分方程正周期解存在性的若干结论.主要利用Mawhin延拓定理和Arzela-Ascoli定理以及一些分析技巧考察了文中给定系统的正周期解的存在性.

By applying the continuation theorem of coincidence degree theory, the writers establish the existence of the positive periodic solutions of a class of two-dimensional impulsive differential equations with several delays. In this paper, we mainly discuss the existence of positive solution for one system on the basis of Theorem Mawhin and Arzela-Ascoli as well as some analysis technique.