Diffusion processes with unbounded drift coefficient
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 29-39
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The paper deals with properties of solutions of stochastic differential equations with non-degenerate Hölder continuous diffusion coefficient and integrable to some power drift coefficient. It is proved that the obtained in [1] solution of such an equation is a Markov process, and its transition probability function has a density. A uniqueness theorem for some class of solutions is proved. An integral-differential equation for the characteristics of the solution is also obtained.