Square-mean almost automorphic solutions for some stochastic differential equations

Details Square-mean almost automorphic solutions for some stochastic differential equations Square-mean almost automorphic solutions for some stochastic differential equations

2010-01-18

arxiv.org/abs/1001.3049v1

Mathematics

Dynamical Systems

11 pages. Proc AMS, to appear

Scientific paper

The concept of square-mean almost automorphy for stochastic processes is introduced. The existence and uniqueness of square-mean almost automorphic solutions to some linear and non-linear stochastic differential equations are established provided the coefficients satisfy some conditions. The asymptotic stability of the unique square-mean almost automorphic solution in square-mean sense is discussed.

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