脉冲时滞泛函微分方程正周期解的存在性

Existence of positive periodic solutions for functional differential equations with impulses and delay

文章利用Banach空间中Krasnoselskii锥不动点定理,主要讨论了2类带有脉冲和时滞的泛函微分方程的周期正解的存在性,建立了正解存在的几个充分条件,在一定意义上突破了该类泛函微分方程周期正解存在性的判别条件的某些限制。

By using Krasnoselskii＇s fixed point theorem in a cone in the Banach space, the existence of periodic solutions for two classes of periodic differential equations with impulses and delay is discussed in this paper. Some sufficient conditions for the existence of positive periodic solutions are established which break the limitations to the related problems to some extent.