On the strong uniqueness of a solution to singular stochastic differential equations

Olga V. Aryasova, Andrey Yu. Pilipenko
Theory of Stochastic Processes
Vol.17 (33), no.2, 2011, pp.1-15
We prove the existence and uniqueness of a strong solution for an SDE on a semi-axis with singularities at the point 0. The result obtained yields, for example, the strong uniqueness of non-negative solutions to SDEs governing Bessel processes.