Massera-type theorem for the existence of \(C^{(n)}\)-almost-periodic solutions for partial functional differential equations with infinite delay
type: Item
instance of: scholarly article
title: Massera-type theorem for the existence of \(C^{(n)}\)-almost-periodic solutions for partial functional differential equations with infinite delay
zbMATH Open document ID: 1144.35471
author: Khalil Ezzinbi
author: S. Fatajou
author: G. M. N'Guérékata
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-09-10T00:00:00Z
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 5324003
zbMATH Keywords: Hille-Yosida condition
zbMATH Keywords: infinite delay
zbMATH Keywords: \(C_{0}\)-semigroup
zbMATH Keywords: integral solution
zbMATH Keywords: fading memory space
zbMATH Keywords: reduction principle
zbMATH Keywords: \(C^{(n)}\)-almost-periodic solution
zbMATH Keywords: exponential dichotomy
MaRDI profile type: Publication
full work available at URL: j.na.2007.06.041
OpenAlex ID: W2065489591
cites work: Q4386394
cites work: Variation of constants formula and almost periodic solutions for some partial functional differential equations with infinite delay
cites work: Q3635685
cites work: On some classes of almost periodic functions in abstract spaces
cites work: Existence of a periodic solution for some partial functional differential equations with infinite delay
cites work: Almost periodic differential equations
cites work: Q4163814
cites work: Functional differential equations with infinite delay
cites work: Existence and uniqueness of \(C^{(n)}\)-almost periodic solutions to some ordinary differential equations
cites work: The existence of periodic solutions of systems of differential equations
DOI: 10.1016/J.NA.2007.06.041
Recommended article: Q4795712
Recommended article: A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations
Recommended article: Massera's theorem for almost periodic solutions of functional differential equations
Recommended article: Q3485250
Recommended article: Q4031909
Recommended article: Existence of a periodic solution for some partial functional differential equations with infinite delay
Recommended article: The existence, uniqueness and stability of almost periodic solutions for functional differential equations with infinite delays
Recommended article: Massera criterion for almost periodic solutions of neutral functional differential equations
Recommended article: Q4501297
Recommended article: Massera problem for some nonautonomous functional differential equations of neutral type with finite delay
description: scientific article; zbMATH DE number 5324003