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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 2, Pages 348–360
(Mi tvp2867)
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This article is cited in 87 scientific papers (total in 87 papers)
On the strong solutions of stochastic differential equations
A. Yu. Veretennikov Moscow
Abstract:
It is proved that under some conditions the equation
$$
x_t=x_0+\int_0^t\sigma(s,x_s)\,dw_s+\int_0^t b(s,x_s)\,ds
$$
has a strong solution and that the pathwise uniqueness for this solution holds.
Received: 27.06.1977
Citation:
A. Yu. Veretennikov, “On the strong solutions of stochastic differential equations”, Teor. Veroyatnost. i Primenen., 24:2 (1979), 348–360; Theory Probab. Appl., 24:2 (1979), 354–366
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https://www.mathnet.ru/eng/tvp2867 https://www.mathnet.ru/eng/tvp/v24/i2/p348
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