Boundary Value Problems
Volume 2009 (2009), Article ID 137451, 20 pages
doi:10.1155/2009/137451
Multipoint singular boundary-value problem for systems of nonlinear differential equations
Jaromír Baštinec
, Josef Diblík
and Zdeněk Šmarda3
3Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic
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.