Pasting of two diffusion processes on a line with nonlocal boundary conditions

• Date: 2008
• Main Author: Kononchuk, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4552
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pasting of two diffusion processes on a line with nonlocal boundary conditions / P. Kononchuk // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 52–59. — Бібліогр.: 9 назв.— англ.

In this paper, we obtain an integral representation of an operator semigroup that describes the Feller process on a line that is a result of pasting together two diffusion processes with a nonlocal condition of conjugation.