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

  • Jaromír Baštinec1,

    Affiliated with

    • Josef Diblík1, 2Email author and

      Affiliated with

      • Zdeněk Šmarda1

        Affiliated with

        Boundary Value Problems20092009:137451

        DOI: 10.1155/2009/137451

        Received: 14 April 2009

        Accepted: 16 August 2009

        Published: 19 November 2009


        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’ Affiliations

        Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology
        Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology


        © Jaromír Baštinec et al. 2009

        This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.