一类随机积分-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 Stochastic Integro-Differential Equations

作　　者：姚慧丽[1] 孙海彤 YAO Hui-li;SUN Hai-tong(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2018年第5期119-123,129,共6页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅2011年度科学技术研究项目(12511110);黑龙江省自然科学基金(2018006)

摘　　要：介绍了均方渐近概自守函数和均方渐近概自守随机过程的概念及性质,在一些假设下,利用C_0半群和Banach不动点定理以及Cauchy-Schwarz不等式,讨论了一类抽象半线性发展型随机积分-微分方程在实可分Hilbert空间中的均方渐近概自守温和解的存在性和唯一性。Some concepts and properties of square-mean asymptotically automorphic function and stochastic process are introduced.Underlying some assumptions,C 0-semigroup and the Banach fixed point theorem and Cauchy-Schwarz inequality are used to discuss the existence and uniqueness of Square-mean asymptotically almost automorphic mild solutions,in a real separable Hilbert space,for a class of abstract semilinear stochastic integro-differential evolution equations.

关 键 词：均方渐近概自守温和解 C 0-半群 BANACH不动点定理 随机积分-微分方程 

分 类 号：O175[理学—数学]