非自治随机微分方程依概率分布几乎自守解的存在性

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

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.

The author gave the definition of stochastic process almost automorphic. Using Yoshida approximation approach of proved that if the coefficients of a class of nonautonomous stoc some dissipative conditions, it must exist only in accordance es in the probability distrib bounded linear operator, th hastic differential equations with the probability distrib ution of e author satisfied ution of stochastic almost automorphic solutions.