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.

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.

You can download the full text of this paper in DVI (with a ZIP compressed file of the pictures), PostScript or PDF format.