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arXiv · 2203.06986

Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces

Ming Liu·Lingfei Dai·Xia Zhang
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Abstract

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 $p$th-mean ($p\geq2$). 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.

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Ming Liu, Lingfei Dai, Xia Zhang. 2022-03-14. Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces. https://arxiv.org/abs/2203.06986

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