<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We obtain some results concerning the investigation of two-dimensional non-linear boundary value problems of interpolation type. We show that it is useful to reduce the given boundary value problem, using an appropriate substitution, to a parametrized boundary value problem containing some unknown scalar parameter in the boundary conditions. To study the transformed parametrized problem, we use a method which is based upon special types of successive approximations constructed in an analytic form.</p></abstract>

We obtain some results concerning the investigation of two-dimensional non-linear boundary value problems of interpolation type. We show that it is useful to reduce the given boundary value problem, using an appropriate substitution, to a parametrized boundary value problem containing some unknown scalar parameter in the boundary conditions. To study the transformed parametrized problem, we use a method which is based upon special types of successive approximations constructed in an analytic form.

Parametrization for some boundary value problems of interpolation type

Department of Analysis University of Miskolc H–3515 Miskolc-Egyetemvaros HUNGARY

Faculty of Mathematics Uzhhorod National University Pidhirna str. 46 Uzhhorod, 88000 UKRAINE

Tatra Mountains Mathematical Publications

{"article-title":"Parametrization for some boundary value problems of interpolation type"}

We obtain some results concerning the investigation of two-dimensional non-linear boundary value problems of interpolation type. We show that it is useful to...

Parametrization for some boundary value problems of interpolation type

Published Online: Nov 12, 2012

Page range: 229 - 242

DOI: https://doi.org/10.2478/v10127-009-0040-7

Keywords
parametrized boundary-value problems, interpolation conditions, numerical-analytic method of successive approximations

This content is open access.

Parametrization for some boundary value problems of interpolation type

Published Online: Nov 12, 2012

Page range: 229 - 242

DOI: https://doi.org/10.2478/v10127-009-0040-7

Keywordsparametrized boundary-value problems, interpolation conditions, numerical-analytic method of successive approximations

This content is open access.

Keywords
parametrized boundary-value problems, interpolation conditions, numerical-analytic method of successive approximations