Almost periodic solutions to abstract retarded functional differential equations with unbounded delay
type: Item
instance of: scholarly article
title: Almost periodic solutions to abstract retarded functional differential equations with unbounded delay
zbMATH Open document ID: 0944.34058
DOI: 10.1023/A:1006266900851
author: Hernán R. Henríquez
author: Carlos Vásquez
published in: Acta Applicandae Mathematicae
publication date: 2000-09-11T00:00:00Z
review text: The authors consider quasilinear partial retarded functional-differential equations with unbounded delay of the forms \[ x'= Ax+ F(t, x_t)\quad\text{and}\quad x''= Ax+ F(t,x_t), \] where \(A\) is the infinitesimal generator of a strongly continuous semigroup of linear operators and of a cosine function of linear operators, respectively. The existence of bounded, almost-periodic and asymptotic almost-periodic mild solutions are established.
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47D09
zbMATH DE Number: 1385267
zbMATH Keywords: quasilinear partial retarded functional-differential equations
zbMATH Keywords: unbounded delay
zbMATH Keywords: existence
zbMATH Keywords: bounded, almost-periodic and asymptotic almost-periodic mild solutions
reviewed by: Qingkai Kong
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1385267