MMN-5110
Integral characterizations of uniform h-dichotomy in mean for discrete-time stochastic skew-evolution semiflows
Tímea Melinda Személy Fülöp;Abstract
The main aim of this paper is to provide integral characterizations for the concept of uniform dichotomy in the mean with growth rates for discrete-time stochastic skew-evolution semiflows in Banach spaces. More precisely, necessary and sufficient conditions are given using both invariant projection families and strongly invariant projection families to the discrete-time stochastic skew-evolution semiflows. As a consequence, we obtain integral characterizations for uniform exponential dichotomy in mean.
Vol. 27 (2026), No. 1, pp. 379-400