Exponential instability of linear skew-product semiflows in terms of Banach function spaces
type: Item
instance of: scholarly article
title: Exponential instability of linear skew-product semiflows in terms of Banach function spaces
zbMATH Open document ID: 1063.34048
DOI: 10.1007/BF03323385
author: Mihail Megan
author: Adina Luminiţa Sasu
author: Bogdan Sasu
published in: Results in Mathematics
publication date: 2004-11-26T00:00:00Z
review text: The authors prove necessary and sufficient conditions for ``uniform exponential instability'' of linear skew-product semiflows that extend several previous results on instability of evolution equations.
reviewed by: Nguyen Van Minh
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 2119249
zbMATH Keywords: linear skew-product semiflow
zbMATH Keywords: uniform exponential instability
MaRDI profile type: Publication
cites work: Q4258125
cites work: Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
cites work: Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces
cites work: Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
cites work: Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers
cites work: Evolution semigroups, translation algebras, and exponential dichotomy of cocycles
cites work: Banach lattices
cites work: On uniform exponential stability of linear skew-product semiflows in Banach spaces
cites work: On nonuniform exponential dichotomy of evolution operators in Banach spaces.
cites work: Discrete admissibility and exponential dichotomy for evolution families
cites work: Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows
cites work: Perron conditions for uniform exponential expansiveness of linear skew-product flows
cites work: Exponential Expansiveness and Complete Admissibility For Evolution Families
cites work: Q3435439
cites work: Q4792031
cites work: Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
cites work: The asymptotic behaviour of semigroups of linear operators
cites work: On stability of linear time-varying infinite-dimensional discrete-time systems
cites work: On uniform N-equistability
cites work: Dichotomies for linear evolutionary equations in Banach spaces
cites work: Remarks on the Control of Discrete-Time Distributed Parameter Systems
full work available at URL: https://doi.org/10.1007/bf03323385
OpenAlex ID: W2059835690
description: scientific article; zbMATH DE number 2119249