Periodic solutions of linear differential and integral equations
type: Item
instance of: scholarly article
title: Periodic solutions of linear differential and integral equations
zbMATH Open document ID: 0834.34088
published in: Differential and Integral Equations
publication date: 1996-03-10T00:00:00Z
review text: The paper deals with the functional differential equation (FDE) \(x'= F(t, x_t)\) and the functional equation (FE) \(x(t)= F(t, x_t)\), where \(F(t, \varphi)\) is periodic in \(t\) with period \(T\) and convex in \(\varphi\). The main result on (FDE) is that if there is a bounded solution, then there is a \(T\)-periodic solution no matter the delay is. The same result holds for (FE) under a Lipschitz type condition on \(F(t, \varphi)\) with respect to \(t\).
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 45A05
zbMATH DE Number: 811766
zbMATH Keywords: periodic solution
zbMATH Keywords: functional differential equation
zbMATH Keywords: functional equation
author: Géza Makay
reviewed by: George Karakostas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 811766