Resumen de Square-mean almost automorphic solutions for some stochastic differential equations

Miaomiao Fu, Zhenxin Liu

• 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 the square-mean sense is discussed.