EXISTENCE AND UNIQUENESS RESULTS, THE MARKOVIAN PROPERTY OF SOLUTION FOR A NEUTRAL DELAY STOCHASTIC REACTION-DIFFUSION EQUATION IN ENTIRE SPACE

TitleEXISTENCE AND UNIQUENESS RESULTS, THE MARKOVIAN PROPERTY OF SOLUTION FOR A NEUTRAL DELAY STOCHASTIC REACTION-DIFFUSION EQUATION IN ENTIRE SPACE
Publication TypeJournal Article
Year of Publication2019
AuthorsKENZHEBAEV K.K., STANZHYTSKYI A.N., TSUKANOVA A.O.
JournalDynamic Systems and Applications
Volume28
Issue1
Start Page19
Pagination28
Date Published10/2018
ISSN1056-2176
AMS Subject Classification34K40, 34K50, 60H15
Abstract

We establish results, concerning existence, uniqueness, and continuous dependence on an initial datum of a mild solution for neutral stochastic integro-differential equations with variable time delay of reaction-diffusion type. We also establish the Markovian property of this solution. Herewith our emphasis is on unbounded domain $\{x \in \mathbb{R}^{d}\}$.
PDFhttps://acadsol.eu/dsa/articles/28/1/2.pdf
DOI10.12732/dsa.v28i1.2
Refereed DesignationRefereed
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