Generalized solutions to abstract stochastic problems

DOI10.1080/10652460802567574zbMath1159.60330OpenAlexW4251100271MaRDI QIDQ3619803

A. I. Filinkov, Irina V. Melnikova

Publication date: 9 April 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802567574

zbMATH Keywords

ultra-distributions\(k\)-convoluted semigroup\(Q\)-Qiener process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Operations with distributions and generalized functions (46F10) Ordinary differential equations and systems with randomness (34F05) Linear differential equations in abstract spaces (34G10) Integrated semigroups (47D62)

Related Items (5)

The Numerical Algorithms for the Measurement of the Deterministic and Stochastic Signals ⋮ Linear Sobolev type equations with relatively \(p\)-radial operators in space of ``noises ⋮ Unnamed Item ⋮ Solution of nonlinear stochastic equations with a generator of a semigroup discontinuous at zero ⋮ Chaos expansions: applications to a generalized eigenvalue problem for the Malliavin derivative

Cites Work

• Abstract stochastic equations. I: Classical and distributional solutions
• Peculiarities and regularization of ill-posed Cauchy problems with differential operators
• Regularized solutions to Cauchy problems well posed in the extended sense
• Unnamed Item

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