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Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations

Boundary Value Problems volume 2009, Article number: 137451 (2009) Cite this article

Abstract

A singular Cauchy-Nicoletti problem for a system of nonlinear ordinary differential equations is considered. With the aid of combination of Ważewski's topological method and Schauder's principle, the theorem concerning the existence of a solution of this problem (having the graph in a prescribed domain) is proved.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00, Brno, Czech Republic

    Jaromír Baštinec, Josef Diblík & Zdeněk Šmarda

  2. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Žižkova 17, 662 37, Brno, Czech Republic

    Josef Diblík

Authors
  1. Jaromír Baštinec
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  2. Josef Diblík
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  3. Zdeněk Šmarda
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Corresponding author

Correspondence to Josef Diblík.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baštinec, J., Diblík, J. & Šmarda, Z. Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations. Bound Value Probl 2009, 137451 (2009). https://doi.org/10.1155/2009/137451

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  • DOI: https://doi.org/10.1155/2009/137451

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