scientific article; zbMATH DE number 797358

zbMath0829.46025MaRDI QIDQ4848518

Michael Oberguggenberger

Publication date: 21 January 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

differential algebras of generalized stochastic processessolutions to nonlinear stochastic differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Operations with distributions and generalized functions (46F10) Generalized stochastic processes (60G20)

Related Items (11)

Generalized stochastic processes in algebras of generalized functions: independence, stationarity and SPDEs ⋮ Stochastic parabolic equations with singular potentials ⋮ Wave equation driven by fractional generalized stochastic processes ⋮ Nonlinear stochastic differential equations containing generalized delta processes ⋮ Nonlinear stochastic wave equations ⋮ A new construction of random Colombeau distributions ⋮ Extension of Colombeau algebra to derivatives of arbitrary order D\(^\alpha ,\alpha \in \mathbf R_+ \cup \{0\}\). Application to ODEs and PDEs with entire and fractional derivatives ⋮ Generalized stochastic processes in algebras of generalized functions ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ Imbedding of infinite dimensional distributions into simplified Colombeau type algebras ⋮ Fractional derivatives of multidimensional Colombeau generalized stochastic processes

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