Trotter–Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces  

作　　者：Ming LIU Xia ZHANG Ling Fei DAI 

机构地区：[1]School of Mathematical Sciences,Tiangong University,Tianjin 300387,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第5期1229-1243,共15页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12171361);the Humanity and Social Science Youth foundation of Ministry of Education(Grant No.20YJC790174)。

摘　　要：This paper studies a class of impulsive neutral stochastic partial differential equations in real Hilbert spaces.The main goal here is to consider the Trotter-Kato approximations of mild solutions of such equations in the pth-mean(p≥2).As an application,a classical limit theorem on the dependence of such equations on a parameter is obtained.The novelty of this paper is that the combination of this approximating system and such equations has not been considered before.

关 键 词：Impulsive neutral stochastic partial diferential equation Trotter-Kato approximations classical limit theorem 

分 类 号：O211.63[理学—概率论与数理统计] O177.1[理学—数学]