On N-th order nonlinear ordinary random differential equations
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...
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| Datum: | 2010 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2010
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/174966 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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 equations. Our investigations are placed in the Banach space of continuous real-valued functions on closed and bounded intervals
of real line together with the application of random version of Leray – Schauder principle. |
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