### On pasting together two inhomogeneous diffusion processes on a line with the general Fellerâ€“Wentzell conjugation condition

**B. I. Kopytko, R. V. Shevchuk**

*Theory of Stochastic Processes*

*Vol.17 (33), no.2, 2011, pp.55-70*

By the method of classical potential theory, we obtain an integral representation for the two-parameter semigroup of operators that describes the inhomogeneous Feller process on a line being a result of pasting together two diffusion processes with the general Fellerâ€“Wentzell conjugation condition.