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

Published: 19 November 2009

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.