### Inhomogeneous diffusion processes on a half-line with jumps on its boundary

**R. V. Shevchuk**

*Theory of Stochastic Processes*

*Vol.17 (33), no.1, 2011, pp.119-129*

By means of the method of classical potential theory, we construct a multiplicative operator family that describes an inhomogeneous diffusion process on a half-line with the Feller-Wentzel boundary condition which corresponds to the absorption and jumps of the process.