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This article is part of the series Singular Boundary Value Problems for Ordinary Differential Equations.

Open Access Research Article

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

Jaromír Baštinec1, Josef Diblík12* and Zdeněk Šmarda1

Author Affiliations

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

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

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Boundary Value Problems 2009, 2009:137451  doi:10.1155/2009/137451


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/137451


Received:14 April 2009
Revisions received:9 July 2009
Accepted:16 August 2009
Published:19 November 2009

© 2009 The Author(s).

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.

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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