Successive approximation of neutral functional stochastic differential equations in Hilbert spaces (Q982750)

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scientific article; zbMATH DE number 5761666
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Successive approximation of neutral functional stochastic differential equations in Hilbert spaces
scientific article; zbMATH DE number 5761666

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    Successive approximation of neutral functional stochastic differential equations in Hilbert spaces (English)
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    27 July 2010
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    From the authors' abstract: By using successive approximation, we prove existence and uniqueness result for a class of neutral functional stochastic differential equations in Hilbert spaces with non-Lipschitzian coefficients.
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    semigroup of bounded linear operator
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    fractional powers of closed operators
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    successive approximation
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    mild solution
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    cylindrical \(Q\)-Wiener process
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