On stochastic differential inclusions with unbounded right sides

• Date: 2006
• Main Author: Lepeyev, A.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4445
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On stochastic differential inclusions with unbounded right sides / A.N. Lepeyev // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С.94–105. — Бібліогр.: 23 назв.— англ.

The paper deals with one-dimensional homogeneous stochastic differential inclusions without drift with a Borel measurable right side. Using a new method of explicit solutions, the necessary and sufficient conditions for the existence of weak solutions of the inclusions with locally unbounded right s...