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Uniform exponential dichotomy of stochastic cocycles. (English) Zbl 1201.60060
Summary: The aim of this paper is to give a generalization of the well-known theorem of O.Perron [M. Z. 32, 703–728 (1930; JFM 56.1040.01)] for uniform exponential dichotomy in mean square for stochastic cocycles in Hilbert spaces.

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60H20 Stochastic integral equations
Full Text: DOI
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