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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 3, Pages 417–424
(Mi tvp2375)
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This article is cited in 11 scientific papers (total in 11 papers)
On criteria for the existence of the strong solution of the stochastic equation
A. Yu. Veretennikov Moscow
Abstract:
Criteria for the existence of the strong solution and for the strong uniqueness of a solution of the Ito's stochastic differential equation
$$
dx_t=\sigma(t,x_t)\,dw_t+b(t,x_t)\,dt,\qquad x_0=x\in E_d,
$$
are formulated in terms of the linear parabolic equations theory and proved.
Received: 18.12.1979
Citation:
A. Yu. Veretennikov, “On criteria for the existence of the strong solution of the stochastic equation”, Teor. Veroyatnost. i Primenen., 27:3 (1982), 417–424; Theory Probab. Appl., 27:3 (1983), 441–449
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