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

Miklós Rontó; K. Marynets

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

Miklós Rontó^*, K. Marynets

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

Abstract

We obtain some results concerning the solutions of certain types of three-point non-linear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.

Original language	English
Pages (from-to)	91-106
Number of pages	16
Journal	Miskolc Mathematical Notes
Volume	13
Issue number	1
Publication status	Published - 5 Nov 2012
Externally published	Yes

Keywords

Determining system
Numerical-analytic method
Successive approximations
Three-point non-linear boundary-value problem

Cite this

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abstract = "We obtain some results concerning the solutions of certain types of three-point non-linear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.",

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AU - Marynets, K.

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N2 - We obtain some results concerning the solutions of certain types of three-point non-linear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.

AB - We obtain some results concerning the solutions of certain types of three-point non-linear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.

KW - Determining system

KW - Numerical-analytic method

KW - Successive approximations

KW - Three-point non-linear boundary-value problem

UR - https://www.scopus.com/pages/publications/84868157514

M3 - Article

AN - SCOPUS:84868157514

SN - 1787-2405

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JF - Miskolc Mathematical Notes

IS - 1

ER -

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

Abstract

Keywords

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