On uniform exponential trichotomy of evolution operators in Banach spaces
type: Item
instance of: scholarly article
title: On uniform exponential trichotomy of evolution operators in Banach spaces
zbMATH Open document ID: 1151.34051
author: Codruţa Stoica
author: Mihail Megan
published in: Integral Equations and Operator Theory
publication date: 2008-06-30T00:00:00Z
review text: The known results of [\textit{R. Datko}, ``Uniform asymptotic stability of evolutionary processes in Banach spaces'', SIAM J. Math. Anal. 3, 428--445 (1972; Zbl 0241.34071)] and more later ones on the theory of stability of linear evolution operators in Banach spaces are extended into two directions: {\parindent=6,5mm \begin{itemize}\item[(1)] the linearity of evolution operators is not assumed; \item[(2)] necessary and sufficient conditions are obtained for uniform exponential trichotomy of nonlinear evolution operators. \end{itemize}}
reviewed by: Irina V. Konopleva
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D09
zbMATH DE Number: 5294656
zbMATH Keywords: nonlinear evolution operators
zbMATH Keywords: exponential stability
zbMATH Keywords: exponential dichotomy
zbMATH Keywords: exponential trichotomy
MaRDI profile type: Publication
full work available at URL: s00020-008-1555-z
OpenAlex ID: W2058406668
DOI: 10.1007/S00020-008-1555-Z
description: scientific article; zbMATH DE number 5294656