On N-th order nonlinear ordinary random differential equations

• Published in: Нелінійні коливання
• Date: 2010
• Main Author: Dhage, B.C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174966
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On N-th order nonlinear ordinary random differential equations / B.C. Dhage // Нелінійні коливання. — 2010. — Т. 13, № 4. — С. 501-514. — Бібліогр.: 12 назв. — англ.

In this paper, an existence result for a nonlinear n-th order ordinary random differential equation is proved under Caratheodory condition. Two existence results for extremal random solutions are also proved for ´ Caratheodory as well as discontinuous cases of the nonlinearity involved in the equa...