On parametrized problems with non-linear boundary conditions

We consider a parametrized boundary-value problem containing an unknown parameter both in the non-linear ordinary differential equations and in the non-linear boundary conditions. By using a suitable change of variables, we reduce the original problem to a family of those with linear boundary condit...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2004-08, Vol.2003 (20), p.1-25
Main Authors: Miklós Rontó, Nataliya Shchobak
Format: Article
Language:English
Online Access:Get full text
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Summary:We consider a parametrized boundary-value problem containing an unknown parameter both in the non-linear ordinary differential equations and in the non-linear 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 non-linear algebraic determining equations. We construct a numerical-analytic scheme suitable for studying the solutions of the transformed boundary-value problem.
ISSN:1417-3875
DOI:10.14232/ejqtde.2003.6.20