Necessary conditions and sufficient conditions for h-dichotomy of skew-evolution cocycles in Banach spaces

Ariana Găină; Mihail Megan

doi:10.2478/auom-2025-0020

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Necessary conditions and sufficient conditions for h-dichotomy of skew-evolution cocycles in Banach spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 33 (2025): Issue 2 (June 2025)

By: Ariana Găină and Mihail Megan

Open Access

|Jun 2025

Abstract

This study focuses on the problem of h-dichotomy for skew-evolution cocycles within Banach spaces. It outlines the necessary conditions and sufficient conditions for this framework, along with those for the notable concepts like exponential dichotomy, polynomial dichotomy and uniform h-dichotomy. These conditions are established through the use of strongly invariant families of projectors.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2025-0020 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 89 - 105

Submitted on: Aug 1, 2024

Accepted on: Nov 29, 2024

Published on: Jun 3, 2025

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

evolution semiflow,

skew-evolution cocycle,

Related subjects:

© 2025 Ariana Găină, Mihail Megan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 33 (2025): Issue 2 (June 2025)