论文标题

希尔伯特空间中冲动性中性SPDE的猪牙展近似

Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces

论文作者

Liu, Ming, Dai, Lingfei, Zhang, Xia

论文摘要

本文研究了实际希尔伯特空间中的一类脉冲中性随机部分微分方程。这里的主要目的是考虑此类方程式中的Trotter-kato近似值($ p $ p \ geq2 $)。作为应用程序,获得了对此类方程对参数的依赖性的经典限制定理。本文的新颖性是,以前没有考虑过这种近似系统和此类方程的组合。

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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