On the Numerical-Analytic Investigation of Parametrized Problems with Nonlinear Boundary Conditions

Author: Rontó M.  

Publisher: Springer Publishing Company

ISSN: 1536-0059

Source: Nonlinear Oscillations, Vol.6, Iss.4, 2003-10, pp. : 469-496

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Abstract

We consider a parametrized boundary-value problem containing an unknown parameter both in nonlinear ordinary differential equations and in nonlinear boundary conditions. By using a suitable change of variables, we reduce the original problem to a family of problems with linear boundary conditions plus certain nonlinear algebraic determining equations. We construct a numerical-analytic scheme suitable for studying the solutions of the transformed boundary-value problem.