On parametrized problems with non-linear boundary conditions

M. Ronto, University of Miskolc, Miskolc-Egyetemváros, Hungary
N. Shchobak, Mathematical Faculty, Uzhgorod National University, Ukraine

E. J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 20. (2004), pp. 1-25.

Communicated by L. Hatvani. Received on 2003-09-02
Appeared on 2004-08-31

Abstract: 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.

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