一类非自治随机积分-微分方程的均方渐近概自守温和解  

Square-mean asymptotically almost automorphic mild solutions to a class of nonautonomous stochastic integro-differential equations

作　　者：姚慧丽 刘冬玥 孙源源 王晶囡 YAO Huili;LIU Dongyue;SUN Yuanyuan;WANG Jingnan(College of Science,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2022年第2期134-142,共9页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11801122)。

摘　　要：对实可分的Hilbert空间上一类非自治随机积分-微分方程的均方渐近概自守温和解的存在性和唯一性进行讨论。利用算子族A(t)的“Acquistapace-Terreni”条件、Banach不动点定理以及Ito积分的等距性质,探究此类方程存在唯一均方渐近概自守温和解的条件。The existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to a class of nonautonomous stochastic integro-differential equations in real separable Hilbert spaces are discussed. The conditions which make this class of equation have unique square-mean asymptotically almost automorphic mild solutions are studied by the “Acquistapace-Terreni” conditions of operator family, Banach fixed point theorem and identity of Ito integrals isometry.

关 键 词：均方渐近概自守温和解 随机积分-微分方程 BANACH不动点定理 

分 类 号：Q939.97[生物学—微生物学]