Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces.

Autor: Liu, Ming, Zhang, Xia, Dai, Ling Fei
Předmět:
Zdroj: Acta Mathematica Sinica; May2024, Vol. 40 Issue 5, p1229-1243, 15p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index