<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper we consider three concepts of uniform dichotomy in mean for stochastic skew-evolution semiflows: uniform exponential dichotomy in mean, uniform polynomial dichotomy in mean and uniform <italic>h</italic>- dichotomy in mean. Some characterizations of these notions and connections between these concepts are given. The obtained results can be considered generalizations to the dichotomy case of the results from [29].</p>
</abstract>

In this paper we consider three concepts of uniform dichotomy in mean for stochastic skew-evolution semiflows: uniform exponential dichotomy in mean, uniform polynomial dichotomy in mean and uniform h- dichotomy in mean. Some characterizations of these notions and connections between these concepts are given. The obtained results can be considered generalizations to the dichotomy case of the results from [29].

On uniform dichotomy in mean of stochastic skew-evolution semiflows in Banach spaces

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper we consider three concepts of uniform dichotomy in mean for stochastic skew-evolution semiflows: uniform exponential dichotomy in mean, uniform...

On uniform dichotomy in mean of stochastic skew-evolution semiflows in Banach spaces

Published Online: Jul 31, 2023

Page range: 92 - 104

DOI: https://doi.org/10.2478/awutm-2023-0008

Keywords
stochastic skew-evolution semiflows, growth rate, uniform h-dichotomy in mean

© 2023 Tímea Melinda Személy Fülöp, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On uniform dichotomy in mean of stochastic skew-evolution semiflows in Banach spaces

Published Online: Jul 31, 2023

Page range: 92 - 104

DOI: https://doi.org/10.2478/awutm-2023-0008

Keywordsstochastic skew-evolution semiflows, growth rate, uniform h-dichotomy in mean

© 2023 Tímea Melinda Személy Fülöp, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
stochastic skew-evolution semiflows, growth rate, uniform h-dichotomy in mean