## 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.

### MSC:

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

JFM 56.1040.01
Full Text:

### References:

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