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Stochastic Analysis and Applications Volume 20, 2002 - Issue 3
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Original Articles

Remarks on the existence and approximation for semilinear stochastic differential equations in Hilbert spaces

Y. El Boukfaoui Département de Mathématiques, Faculté des Sciences et Techniques Guéliz, BP 618, Marrakech, Morocco
&
M. Erraoui Département de Mathématiques, Faculté des Sciences et Techniques Guéliz, BP 618, Marrakech, MoroccoCorrespondence[email protected]
Pages 495-518 | Published online: 15 Feb 2007

Citations (15)

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Read on this site (2)

Bin Xie. (2008) Stochastic Differential Equations with Non-Lipschitz Coefficients in Hilbert Spaces. Stochastic Analysis and Applications 26:2, pages 408-433.
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N. I. Mahmudov. (2006) Existence and Uniqueness Results for Neutral SDEs in Hilbert Spaces. Stochastic Analysis and Applications 24:1, pages 79-95.
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Articles from other publishers (13)

Wael W. Mohammed & Dirk Blömker. (2021) Fast-diffusion limit for reaction-diffusion equations with multiplicative noise. Journal of Mathematical Analysis and Applications 496:2, pages 124808.
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A. N. Stanzhitskii & A. O. Tsukanova. (2017) Existence and Uniqueness of the Solution to the Cauchy Problem for the Stochastic Reaction-Diffusion Differential Equation of Neutral Type. Journal of Mathematical Sciences 226:3, pages 307-334.
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JinRong Wang. (2015) Approximate mild solutions of fractional stochastic evolution equations in Hilbert spaces. Applied Mathematics and Computation 256, pages 315-323.
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Iryna Volodymyrivna Komashynska. (2013) Existence and Uniqueness of Solutions for a Class of Nonlinear Stochastic Differential Equations. Abstract and Applied Analysis 2013, pages 1-7.
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Mark McKibben. 2011. Discovering Evolution Equations with Applications. Discovering Evolution Equations with Applications.
Yong Ren & Ningmao Xia. (2009) A note on the existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay. Applied Mathematics and Computation 214:2, pages 457-461.
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Yong Ren, Shiping Lu & Ningmao Xia. (2008) Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay. Journal of Computational and Applied Mathematics 220:1-2, pages 364-372.
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Bin Xie. (2008) On pathwise uniqueness of stochastic evolution equations in Hilbert spaces. Journal of Mathematical Analysis and Applications 344:1, pages 204-216.
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Bin Xie. (2008) The stochastic parabolic partial differential equation with non-Lipschitz coefficients on the unbounded domain. Journal of Mathematical Analysis and Applications 339:1, pages 705-718.
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Yu. S. Mishura & G. M. Shevchenko$^{\dag}$. (2007) Approximation Schemes for Stochastic Differential Equations in Hilbert Space. Theory of Probability & Its Applications 51:3, pages 442-458.
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J.P. Dauer, N.I. Mahmudov & M.M. Matar. (2006) Approximate controllability of backward stochastic evolution equations in Hilbert spaces. Journal of Mathematical Analysis and Applications 323:1, pages 42-56.
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David N. Keck & Mark A. McKibben. (2006) Abstract semilinear stochastic Itó-Volterra integrodifferential equations. Journal of Applied Mathematics and Stochastic Analysis 2006, pages 1-22.
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Юлия Степановна Мишура, Yuliya Stepanovna Mishura, Георгий М Шевченко & Georgii M Shevchenko. (2006) Аппроксимационные схемы для стохастических дифференциальных уравнений в гильбертовом пространствеApproximation schemes for stochastic differential equations in Hilbert space. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 51:3, pages 476-495.
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