Uniform Dichotomy Concepts for Discrete-Time Skew Evolution Cocycles in Banach Spaces

In the present paper, we consider the problem of dichotomic behaviors of dynamical systems described by discrete-time skew evolution cocycles in Banach spaces. We study two concepts of uniform dichotomy: uniform exponential dichotomy and uniform polynomial dichotomy. Some characterizations of these...

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Bibliographic Details
Published in:Mathematics (Basel) 2021-09, Vol.9 (17), p.2177
Main Authors: Găină, Ariana, Megan, Mihail, Popa, Carmen Florinela
Format: Article
Language:English
Subjects:
Banach spaces
Behavior
Discrete time systems
discrete-time skew evolution cocycles
Evolution
Polynomials
Projectors
uniform exponential dichotomy
uniform polynomial dichotomy
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Summary:In the present paper, we consider the problem of dichotomic behaviors of dynamical systems described by discrete-time skew evolution cocycles in Banach spaces. We study two concepts of uniform dichotomy: uniform exponential dichotomy and uniform polynomial dichotomy. Some characterizations of these notions and connections between these concepts are given.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9172177