### 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 |
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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

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## Cite this

Rontó, M., & Marynets, K. (2012). On the parametrization of boundary-value problems with three-point non-linear restrictions.

*Miskolc Mathematical Notes*,*13*(1), 91-106.