非自治随机微分方程依概率分布几乎自守解的存在性

给出随机过程依概率分布几乎自守的定义,并利用有界线性算子的Yoshida逼近方法,证明了一类非自治随机微分方程只要其系数满足某种耗散性条件,则其必存在唯一的依概率分布随机几乎自守解.

Existence of Probability Distribution of Almost AutomorphicSolutions for Nonautonomous Stochastic Differential Equations

The author gave the definition of stochastic processes in the probability distribution of almost automorphic. Using Yoshida approximation approach of bounded linear operator, the author proved that if the coefficients of a class of nonautonomousstochastic differential equations satisfied some dissipative conditions, it must exist only in accordance with the probability distribution of stochastic almost automorphic solutions.