一类非齐次迭代泛函微分方程的周期解（英文）  

PERIODIC SOLUTIONS OF A NONHOMOGENEOUS ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATION

作　　者：赵侯宇[1,2] 

机构地区：[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

出　　处：《数学杂志》2018年第2期191-199,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11326120;11501069);Foundation of Chongqing Municipal Education Commission(KJ1400528;KJ1600320)

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)=c_1x(t)+c_2x^([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.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）=c_1x（t）＋c_2x^（[2]）（t）＋F（t）, which develops the theory about the periodic solutions of iterative functional differential equation.

关 键 词：迭代泛函微分方程 周期解 不动点定理 

分 类 号：O193[理学—数学]