Parametrization for some boundary value problems of interpolation type

Miklós Rontó; Natalia Shchobak

doi:10.2478/v10127-009-0040-7

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Parametrization for some boundary value problems of interpolation type

Tatra Mountains Mathematical Publications

Volume 43 (2009): Issue 1 (August 2009)

By: Miklós Rontó and Natalia Shchobak

Open Access

|Nov 2012

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.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0040-7 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 229 - 242

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

parametrized boundary-value problems,

interpolation conditions,

numerical-analytic method of successive approximations

Related subjects:

Mathematics,

General mathematics

© 2012 Miklós Rontó, Natalia Shchobak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 43 (2009): Issue 1 (August 2009)