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Trotter–Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces

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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)。
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