It is shown that in the sense of Baire category, almost all stochastic differential equations with uniformly bounded measurable coefficients and uniformly nondegenerate diffusions have unique strong solutions.
@article{1176992535,
author = {Heunis, Andrew J.},
title = {On the Prevalence of Stochastic Differential Equations with Unique Strong Solutions},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 653-662},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992535}
}
Heunis, Andrew J. On the Prevalence of Stochastic Differential Equations with Unique Strong Solutions. Ann. Probab., Tome 14 (1986) no. 4, pp. 653-662. http://gdmltest.u-ga.fr/item/1176992535/