一类具有分布时滞的高阶脉冲泛函微分方程周期解的存在性

Existence of Periodic Solutions for a Kind of High-order Impulsive Functional Differential Equations with Distributed Delay

利用迭合度理论中的延拓定理讨论一类具有分布时滞的高阶脉冲微分方程周期解的存在性,得到该方程存在周期解的条件.

By using the continuation theory of coincidence degree theorem,we study a kind of high-order impulsive functional differential equations with distributed delay.Several conditions are obtained for the existence of periodic solutions of such system.