一类多时滞微分方程的周期正解

Periodic Positive Solutions for a Class of Functional Time-lag Differential Equations

时滞微分方程的研究和发展无论是理论上还是应用上都具有重要的意义。特别地,时滞微分方程的周期解存在性问题是一个有重要意义的研究课题,受到国内外学者的广泛关注。利用Krasnoselskii不动点定理,给出了一类多时滞微分方程ω-周期正解存在性的充分条件,推广了已有文献中的相应结果。

Research and development of time-lag differential equation are of great significance both in theory and applications. Especially, the existence of periodic solutions of time-lag differential equation has become an important research topic, and received extensive attention from scholars at home and abroad. Krasnoselskii fixed-point theorem was used to obtain the sufficient conditions so as to ensure the existence of positive periodic solutions to the follow- ing delay differential equation, which extended the fruits in the existing literatures.