Boundary Value Problems
Volume 2009 (2009), Article ID 137451, 20 pages
doi:10.1155/2009/137451
Research Article

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

Jaromír Baštinec,1 Josef Diblík,1,2 and Zdeněk Šmarda1

1Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic
2Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Žižkova 17, 662 37 Brno, Czech Republic

Received 14 April 2009; Revised 9 July 2009; Accepted 16 August 2009

Academic Editor: Donal O'Regan

Copyright © 2009 Jaromír Baštinec et al. 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.