Original scientific paper

https://doi.org/10.3336/gm.60.1.10

Datko type characterizations for uniform dichotomy in mean with growth rates for reversible stochastic skew-evolution semiflows in Banach spaces

Tímea Melinda Személy Fülöp orcid.org/0000-0002-7231-8718 ; Department of Mathematics, West University of Timişoara, Timişoara, România

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Abstract

The main aim of this paper is to give characterizations of Datko type for the uniform dichotomy in mean with growth rates concept for reversible stochastic skew-evolution semiflows in Banach spaces. As particular cases, we obtain integral characterizations for uniform exponential dichotomy in mean. The obtained results are generalizations of well-known theorems about uniform \(h\)-dichotomy of variational systems in deterministic case.

Keywords

Growth rate, reversible stochastic skew-evolution semiflows, uniform \( h \)-dichotomy in mean

Hrčak ID:

332474

URI

https://hrcak.srce.hr/332474

Publication date:

11.4.2026.

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