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Mathematica Bohemica
Article . 2004 . Peer-reviewed
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zbMATH Open
Article . 2004
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Exponential stability and exponential instability for linear skew-product flows

Authors: Megan, Mihail; Luminiţa Sasu, Adina; Sasu, Bogdan;

Exponential stability and exponential instability for linear skew-product flows

Abstract

Summary: We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to \textit{Neerven, Datko, Zabczyk} and \textit{Rolewicz}.

Keywords

uniform exponential stability, linear skew-product flow, uniform exponential instability, Asymptotic expansions of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Average
Published in a Diamond OA journal