Green's function for periodic solutions in alternately advanced and delayed differential systems
type: Item
instance of: scholarly article
title: Green's function for periodic solutions in alternately advanced and delayed differential systems
zbMATH Open document ID: 1472.34129
author: K. S. Chiu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2021-05-11T00:00:00Z
review text: In the paper, the differential system \[ x'(t)=A(t)x(t)+f(t,x(t),x(\gamma(t)))+g(t,x(t),x(\gamma(t))) \] is considered with a piecewise continuous argument deviation \(\gamma\). The existence of an \(\omega\)-periodic solution is studied under the assumption that the corresponding linear system has only the trivial \(\omega\)-periodic solution. By using Krasnoselskii's fixed point theorem, the author proves the existence (resp. the existence and uniqueness) of an \(\omega\)-periodic solution to the given system. Applications and illustrative examples are discussed as well.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7347396
zbMATH Keywords: piecewise constant argument deviation
zbMATH Keywords: Green's function
zbMATH Keywords: periodic solution
zbMATH Keywords: fixed point theorems
reviewed by: Jiří Šremr
MaRDI profile type: Publication
full work available at URL: s10255-020-0975-7
OpenAlex ID: W3115475704
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DOI: 10.1007/S10255-020-0975-7
description: scientific article; zbMATH DE number 7347396