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

Author

Listed:
  • Ariana Găină

    (Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
    These authors contributed equally to this work.)

  • Mihail Megan

    (Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
    Academy of Romanian Scientists, 050094 Bucharest, Romania
    These authors contributed equally to this work.)

  • Carmen Florinela Popa

    (Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300223 Timişoara, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Ariana Găină & Mihail Megan & Carmen Florinela Popa, 2021. "Uniform Dichotomy Concepts for Discrete-Time Skew Evolution Cocycles in Banach Spaces," Mathematics, MDPI, vol. 9(17), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2177-:d:630115
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