Existence, uniqueness, and continuous dependence of solutions of delay-differential equations with infinite delays in a Banach space
type: Item
instance of: scholarly article
title: Existence, uniqueness, and continuous dependence of solutions of delay-differential equations with infinite delays in a Banach space
zbMATH Open document ID: 0846.34086
author: Shigeo Kato
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-03-31T00:00:00Z
review text: The author considers a delay-differential equation with infinite delays in a Banach space and he proves some existence, uniqueness and continuous dependence results. A sufficient condition for uniform stability of solutions is also discussed.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 861751
zbMATH Keywords: delay-differential equation with infinite delays
zbMATH Keywords: Banach space
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: continuous dependence
zbMATH Keywords: uniform stability
reviewed by: Ioan I. Vrabie
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1343
OpenAlex ID: W2029556939
DOI: 10.1006/JMAA.1995.1343
description: scientific article; zbMATH DE number 861751