On the numerical-analytic investigation of parametrized problems with nonlinear boundary conditions

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Rontó, M., Shchobak, N.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176983
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...