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Contemporary Mathematics. Fundamental Directions, 2006, Volume 16, Pages 96–109
(Mi cmfd50)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/cmfd50 https://www.mathnet.ru/eng/cmfd/v16/p96
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Abstract page: | 382 | Full-text PDF : | 142 | References: | 46 |
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