On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space

• Date: 2005
• Main Author: Brayman, V.B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4423
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space / V.B. Brayman // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 29–41. — Бібліогр.: 5 назв.— англ.

We consider some the following differential equation with interaction governed by a generalized function/ The conditions that guarantee the existence and uniqueness of a solution when
 mapping a belongs to some Sobolev space are obtained.