Linear theory of abstract functional differential equations of retarded type
type: Item
instance of: scholarly article
title: Linear theory of abstract functional differential equations of retarded type
zbMATH Open document ID: 0821.34074
author: Ovide Arino
author: Eva Sánchez
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-05-15T00:00:00Z
review text: The authors consider linear, autonomous delay equations \(x'(t) = L(x_ t)\), with values \(x(t)\) in a Banach space \(E\) and use the spectral theory of the solution semigroup on \(C([- r,0], E)\) in order to discuss phenomena analogous to the Fredholm alternative.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 755530
zbMATH Keywords: linear, autonomous delay equations
zbMATH Keywords: Banach space
zbMATH Keywords: Fredholm alternative
reviewed by: Rainer Nagel
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1148
OpenAlex ID: W2054138589
DOI: 10.1006/JMAA.1995.1148
description: scientific article; zbMATH DE number 755530