一类非自治随机微分方程的几乎自守解  

Square-Mean Almost Automorphic Solutions for a Class of Nonautonomous Stochastic Differential Equations

作　　者：付苗苗[1,2] 

机构地区：[1]长春师范学院数学学院,长春130032 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2011年第4期669-673,共5页Journal of Jilin University:Science Edition

基　　金：吉林省自然科学基金(批准号:201115164);长春师范学院科研基金(批准号:长师自科合字[2009]第013号)

摘　　要：利用Yosida逼近和"Acquistapace-Terreni"条件,得到了可分实Hilbert空间上非自治随机微分方程均方意义下几乎自守温和解的存在性和唯一性.The author discussed the square-mean almost automorphic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space.Under so-called ＂Acquistapace-Terreni＂ conditions,the existence and uniqueness of square-mean almost automorphic solutions to those nonautonomous stochastic differential equations were established.

关 键 词：随机微分方程 YOSIDA逼近 几乎自守温和解 

分 类 号：O211.63[理学—概率论与数理统计]