一类非自治随机微分方程的均方渐近概周期解
SQUARE-MEAN ASYMPTOTICALLY ALMOST PERIODIC SOLUTION ON A CLASS OF NONAUTONOMOUS STOCHASTIC DIFFERENTIAL EQUATIONS

本文研究了一类在可分Hilbert空间中的非自治随机微分方程的均方渐近概周期解.利用"Acquistapace-Terreni"条件,开方族和Banach不动点原理讨论了该类随机微分方程的均方渐近概周期解的存在唯一性,推广了该类随机微分方程的均方概周期解的存在唯一性问题.
In this papre, the square-mean asymptotically almost periodic solution is studied on a class of nonautonomous stochastic differential equations in a separable Hilbert space. By using the "Acquistapace-Terreni" conditions, evolution families and Banach fixed point theorem, the existence and uniqueness of square-mean asymptotically almost periodic solution on this kind of nonautonomous stochastic differential equations are discussed. The problems on the existence and uniqueness of square-mean almost periodic solutions on this kind of equation are generalized