1. On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces
- Creator:
- Stoica, Diana and Megan, Mihail
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- stochastic skew-evolution semiflow and nonuniform exponential dichotomy in mean square
- Language:
- English
- Description:
- In this paper we study a general concept of nonuniform exponential dichotomy in mean square for stochastic skew-evolution semiflows in Hilbert spaces. We obtain a variant for the stochastic case of some well-known results, of the deterministic case, due to R. Datko: Uniform asymptotic stability of evolutionary processes in a Banach space, SIAM J. Math. Anal., 3(1972), 428–445. Our approach is based on the extension of some techniques used in the deterministic case for the study of asymptotic behavior of skew-evolution semiflows in Banach spaces.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public