Green's Function for Periodic Solutions in Alternately Advanced and Delayed Differential Systems

作     者：Kuo-Shou CHIU Kuo-Shou CHIU

作者机构：Departamento de MatematicaFacultad de Ciencias BasicasUniversidad Metropolitana de Ciencias de la EducacionSantiagoChile 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2020年第36卷第4期

页      面：936-951页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This research was in part supported by FGI 05-16 DIUMCE 

主　　题：piecewise constant arguments Green's function periodic solutions hybrid equations fixed point theorems 

摘      要：In this paper we investigate the existence of the periodic solutions of a nonlinear differential equation with a general piecewise constant argument,in short DEPCAG,that is,the argument is a general step *** consider the critical case,when associated linear homogeneous system admits nontrivial periodic *** of existence of periodic solutions of such equations are *** the process we use the Green?s function for periodic solntions and convert the given DEPCAG into an equivalent integral *** we construct appropriate mappings and employ Krasnoselskii s fixed point theorem to show the existence of a periodic solution of this type of nonlinear differential *** also use the contraction mapping principle to show the existence of a unique periodic *** examples are given to show the feasibility of our results.