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Contemporary Mathematics. Fundamental Directions, 2006, Volume 16, Pages 96–109 (Mi cmfd50)  
This article is cited in 3 scientific papers (total in 3 papers)

Abstract Cauchy Problem in spaces of stochastic distributions

I. V. Mel'nikovaa, A. I. Filinkovb

a Ural State University
b University of Adelaide
Full-text PDF (239 kB) Citations (3)
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Abstract: The first order abstract Cauchy problem with additive white noise and generator of an $R$-semigroup in a Hilbert space $H$ is investigated. A generalized solution in spaces of $H$-valued stochastic distributions is constructed and main characteristics of the solution are obtained.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 5, Pages 1567–1579
DOI: https://doi.org/10.1007/s10958-008-0082-4
Bibliographic databases:
UDC: 517.98+519.21
Language: Russian
Citation: I. V. Mel'nikova, A. I. Filinkov, “Abstract Cauchy Problem in spaces of stochastic distributions”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, CMFD, 16, PFUR, M., 2006, 96–109; Journal of Mathematical Sciences, 149:5 (2008), 1567–1579
Citation in format AMSBIB
\Bibitem{MelFil06}
\by I.~V.~Mel'nikova, A.~I.~Filinkov
\paper Abstract Cauchy Problem in spaces of stochastic distributions
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~2
\serial CMFD
\yr 2006
\vol 16
\pages 96--109
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd50}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336447}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 5
\pages 1567--1579
\crossref{https://doi.org/10.1007/s10958-008-0082-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920862397}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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