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On the prevalence of stochastic differential equations with unique strong solutions. (English) Zbl 0601.60058

Strong solutions of stochastic differential equations are studied. Some metric on the space of coefficients is introduced. The main result states that the set of all coefficients for which sde’s have a unique strong solution contains a dense subset of the second Baire category.
Reviewer: A.Ya.Veretennikov

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
93E99 Stochastic systems and control
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