数学杂志2016，Vol.36Issue(2)：319-327,9.
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
摘要
Abstract
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.关键词
均方渐近概周期解/非自治随机微分方程/Banach不动点原理Key words
square-mean asymptotically almost periodic solution/nonautonomous stochas-tic differential equations/Banach fixed point theory分类
数理科学引用本文复制引用
姚慧丽,王健伟..一类非自治随机微分方程的均方渐近概周期解[J].数学杂志,2016,36(2):319-327,9.基金项目
黑龙江省教育厅科学技术研究项目(12511110) （12511110）
