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Zbl 1197.34162
Boufoussi, Brahim; Hajji, Salah
Successive approximation of neutral functional stochastic differential equations in Hilbert spaces. (English)
[J] Ann. Math. Blaise Pascal 17, No. 1, 183-197 (2010). ISSN 1259-1734

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.
[Nikolaos Halidias (Athens)]

MSC 2000:: *34K50 Stochastic delay equations
34K40 Neutral equations
60H20 Stochastic integral equations

Keywords: semigroup of bounded linear operator; fractional powers of closed operators; successive approximation; mild solution; cylindrical $Q$-Wiener process

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Zentralblatt MATH Berlin [Germany]