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Keywords = stochastic skew-evolution semiflows

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11 pages, 255 KiB  
Article
On Uniform Stability with Growth Rates of Stochastic Skew-Evolution Semiflows in Banach Spaces
by Tímea Melinda Személy Fülöp, Mihail Megan and Diana Ioana Borlea(Pătraşcu)
Axioms 2021, 10(3), 182; https://doi.org/10.3390/axioms10030182 - 8 Aug 2021
Cited by 3 | Viewed by 1983
Abstract
The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure. This concept includes, as [...] Read more.
The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure. This concept includes, as particular cases, the concepts of uniform exponential stability in mean and uniform polynomial stability in mean. Extending techniques employed in the deterministic case, we obtain variants of some results for the general cases of uniform stability in mean for stochastic skew-evolution semiflows in Banach spaces. Full article
(This article belongs to the Special Issue Nonautonomous and Random Dynamical Systems)
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