Weak and generalized solutions of abstract stochastic equations.

zbMath1040.60055MaRDI QIDQ1432425

Irina V. Melnikova, A. I. Filinkov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

abstract differential equationsstochastic Cauchy problem in Hilbert spacesstochastic Cauchy problem in the space of abstract distributions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) White noise theory (60H40) Ordinary differential equations and systems with randomness (34F05) Stochastic integral equations (60H20)

Related Items (4)

Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups ⋮ Solution of quasilinear stochastic problems in abstract Colombeau algebras ⋮ Modified quasi-reversibility method for final value problems in Banach spaces ⋮ GENERALIZED SOLUTIONS FOR STOCHASTIC PROBLEMS IN THE ITO FORM IN GELFAND-SHILOV SPACES

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