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

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.