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

Ariana Găină, Mihail Megan and Carmen Florinela Popa
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Ariana Găină: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
Mihail Megan: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
Carmen Florinela Popa: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania

Mathematics, 2021, vol. 9, issue 17, 1-11

Abstract: 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.

Keywords: uniform exponential dichotomy; uniform polynomial dichotomy; discrete-time skew evolution cocycles (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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