MMN-444

On the parametrization of boundary-value problems with three-point non-linear restrictions

Miklós Rontó; K. Marynets;

Abstract

We obtain some results concerning the investigation of the so- lutions of certain type of three{point non{linear boundary{value problems, subjected to non{linear boundary conditions. We reduce the given problem to the parametrized one with linear two{point boundary restrictions con- taining some arti cially introduced parameters.To study the transformed two{point problem we justify a method, which is based upon special type of approximations constructed in an analytic form.


Vol. 13 (2012), No. 1, pp. 91-106
DOI: https://doi.org/10.18514/MMN.2012.444


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