On nonuniform exponential dichotomy of evolution operators in Banach spaces.
type: Item
instance of: scholarly article
title: On nonuniform exponential dichotomy of evolution operators in Banach spaces.
zbMATH Open document ID: 1034.34056
DOI: 10.1007/BF01197861
author: Mihail Megan
author: Bogdan Sasu
author: Adina Luminiţa Sasu
published in: Integral Equations and Operator Theory
publication date: 2003-05-14T00:00:00Z
review text: The authors study the nonuniform exponential dichotomy of evolution operators in Banach spaces. It is shown that \((C_0,C_0)\)-admissibility for evolution operators implies nonuniformly exponentially dichotomy, and that the converse generally does not as an example shows. This paper is related to the paper of \textit{Nguyen Van Minh, F. Räbiger} and \textit{R. Schnaubelt} [Integral Equations Oper. Theory 32, 332--353 (1998; Zbl 0977.34056)], which discussed the uniform case.
reviewed by: Rong Yuan
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 1890583
zbMATH Keywords: nonuniform exponential dichotomy
zbMATH Keywords: \((C_0, C_0)\)-admissibility
zbMATH Keywords: evolution operator.
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01197861
OpenAlex ID: W2255599601
description: scientific article; zbMATH DE number 1890583