On the numerical-analytic investigation of parametrized problems with nonlinear boundary conditions
We consider a parametrized boundary-value problem containing an unknown parameter both in the nonlinear ordinary differential equations and in the nonlinear boundary conditions. By using a suitable change of variables, we reduce the original problem to a family of those with linear boundary conditi...
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2003
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/176983 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the numerical-analytic investigation of parametrized problems with nonlinear boundary conditions / M. Rontó, N.M. Shchobak // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 482-510. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We consider a parametrized boundary-value problem containing an unknown parameter both in the nonlinear ordinary differential equations and in the nonlinear boundary conditions. By using a suitable change
of variables, we reduce the original problem to a family of those with linear boundary conditions plus
some nonlinear algebraic determining equations. We construct a numerical-analytic scheme suitable for
studying the solutions of the transformed boundary-value problem. |
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