Trotter-Kato approximations of impulsive neutral SPDEs in Hilbert spaces. (English) Zbl 1539.60075
Summary: 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 \((p \geq 2)\). 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.
MSC:
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 46A03 | General theory of locally convex spaces |
| 41A46 | Approximation by arbitrary nonlinear expressions; widths and entropy |
| 46A32 | Spaces of linear operators; topological tensor products; approximation properties |
| 46H25 | Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) |
| 91B02 | Fundamental topics (basic mathematics, methodology; applicable to economics in general) |
Keywords:
impulsive neutral stochastic partial differential equation; Trotter-Kato approximations; classical limit theoremReferences:
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