Existence and uniqueness of the solution to the Cauchy problem for the stochastic reaction-diffusion differential equation of neutral type

DOI10.1007/S10958-017-3536-8zbMath1387.60103OpenAlexW2753986608WikidataQ115382271 ScholiaQ115382271MaRDI QIDQ1683310

A. O. Tsukanova, A. N. Stanzhitskii

Publication date: 7 December 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3536-8

zbMATH Keywords

stochastic differential equationCauchy problemmild solutionweighted Hilbert space

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay
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