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Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces

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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 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.

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Acknowledgements

We are extremely grateful to the critical comments and invaluable suggestions made by anonymous honorable reviewers.

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Authors and Affiliations

  1. School of Mathematical Sciences, TianGong University, 300387, Tian**, P. R. China

    Ming Liu, **a Zhang & Ling Fei Dai

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  1. Ming Liu
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  2. **a Zhang
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  3. Ling Fei Dai
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Correspondence to **a Zhang.

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Conflict of Interest The authors declare no conflict of interest.

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

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Liu, M., Zhang, X. & Dai, L.F. Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces. Acta. Math. Sin.-English Ser. 40, 1229–1243 (2024). https://doi.org/10.1007/s10114-023-1553-8

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  • DOI: https://doi.org/10.1007/s10114-023-1553-8

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