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一类非齐次迭代泛函微分方程的周期解
赵侯宇^1,2
1.重庆师范大学数学学院, 重庆 401331;2.滑铁卢大学纯粹数学系, 加拿大安大略滑铁卢 N2L 3G1

摘要:

本文利用Krasnoselskii不动点定理考虑了一类非齐次迭代泛函微分方程x'（t）=c₁x（t）+ c₂x^[2]（t）+ F（t）周期解的存在唯一性问题，推广了迭代泛函微分方程周期解的相关理论.

关键词: 迭代泛函微分方程周期解不动点定理

DOI：

分类号:O193

基金项目:Supported by National Natural Science Foundation of China (11326120; 11501069); Foundation of Chongqing Municipal Education Commission (KJ1400528; KJ1600320).

PERIODIC SOLUTIONS OF A NONHOMOGENEOUS ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATION

ZHAO Hou-yu^1,2

1.School of Mathematics, Chongqing Normal University, Chongqing 401331, China;2.Department of Pure Mathematics, University of Waterloo, Waterloo N2L 3G1, Canada

Abstract:

In this paper, we use Krasnoselskii's fixed point theorem to study the existence and uniqueness of periodic solutions of a nonhomogeneous iterative functional differential equation x'(t)=c₁x(t)+ c₂x^[2](t)+ F(t), which develops the theory about the periodic solutions of iterative functional differential equation.

Key words: iterative functional differential equation periodic solutions fixed point theorem