Geodesic
On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 879-887.

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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.
DOI : 10.1007/s10587-012-0071-0
Classification : 37L55, 60H25, 93E15
Keywords: stochastic skew-evolution semiflow; nonuniform exponential dichotomy in mean square 
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Stoica, Diana; Megan, Mihail. On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 4, pp. 879-887. doi : 10.1007/s10587-012-0071-0. http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0071-0/

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