滞后型脉冲泛函微分方程周期解的存在性  

Existence of Periodic Solutions for Impulsive Retarded Functional Differential Equations

作　　者：李宝麟 田瑞 Bao Lin LI;Rui TIAN(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,P.R.China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《数学学报（中文版）》2023年第4期707-716,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(12161080)。

摘　　要：本文借助Mawhin重合度理论中的延拓定理和广义常微分方程周期解的存在性,在滞后型脉冲泛函微分方程与广义常微分方程存在等价关系的条件下,建立了滞后型脉冲泛函微分方程周期解的存在性定理.In this paper,by means of the continuation theorem of the Mawhin coincidence degree theory and the existence of periodic solutions of generalized ordinary differential equations,under the condition of the existence of equivalent relation between impulsive retarded functional differential equations and generalized ordinary differential equations,the existence theorem of periodic solutions for impulsive retarded functional differential equations is established.

关 键 词：滞后型脉冲泛函微分方程 广义常微分方程 Kurzweil积分 周期解 拓扑度 

分 类 号：O175.12[理学—数学]