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arXiv · 1001.3049

Square-mean almost automorphic solutions for some stochastic differential equations

Miaomiao Fu·Zhenxin Liu
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Abstract

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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Miaomiao Fu, Zhenxin Liu. 2010-01-18. Square-mean almost automorphic solutions for some stochastic differential equations. https://arxiv.org/abs/1001.3049

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