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Absolute continuity of distributions of solutions of anticipating stochastic differential equations - MaRDI portal

Absolute continuity of distributions of solutions of anticipating stochastic differential equations (Q803647)

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scientific article; zbMATH DE number 4201292
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Absolute continuity of distributions of solutions of anticipating stochastic differential equations
scientific article; zbMATH DE number 4201292

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    Absolute continuity of distributions of solutions of anticipating stochastic differential equations (English)
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    1991
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    The author considers a stochastic differential equation with anticipating initial value and drift coefficient. By means of the Malliavin calculus he proves two sets of sufficient conditions for the absolute continuity of the one-dimensional distributions of the solution process w.r.t. the Lebesgue measure.
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    stochastic differential equation with anticipating initial value and drift coefficient
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    Malliavin calculus
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    absolute continuity
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