An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators
type: Item
instance of: scholarly article
title: An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators
zbMATH Open document ID: 1242.34114
author: Ciprian Preda
author: Petre Preda
author: C. Praţa
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-27T00:00:00Z
review text: This paper extends some recent results by \textit{L. Barreira} and \textit{C. Valls} in [J. Differ. Equations 249, No. 11, 2889--2904 (2010; Zbl 1228.34090)] on nonuniform exponential stability to nonuniform exponential dichotomy. The main result gives a sufficient condition for the nonuniform exponential dichotomy for a strongly continuous evolution family in terms of the admissibility of two function spaces.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34D09
zbMATH DE Number: 6009619
zbMATH Keywords: nonuniformly exponential boundedness
zbMATH Keywords: strongly continuous evolution family
zbMATH Keywords: admissibility
zbMATH Keywords: nonuniformly exponential dichotomy
reviewed by: Nguyen Van Minh
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.10.062
OpenAlex ID: W1997254959
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DOI: 10.1016/J.JMAA.2011.10.062
description: scientific article; zbMATH DE number 6009619