On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces

Title:

On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces

Creator:

Stoica, Diana and Megan, Mihail

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0fc3cc79-3fc2-4398-a07b-0e46f504b701
uuid:0fc3cc79-3fc2-4398-a07b-0e46f504b701

Subject:

stochastic skew-evolution semiflow and nonuniform exponential dichotomy in mean square

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

879-887

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:4

Harvested from:

CDK

Metadata only:

false