SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Open Badges 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

For all author emails, please log on.

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

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.