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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:137451

https://doi.org/10.1155/2009/137451

  • Received: 14 April 2009
  • Accepted: 16 August 2009
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Nonlinear Differential Equation

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Authors’ 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

Copyright

© Jaromír Baštinec et al. 2009

This article is published under license to BioMed Central Ltd. 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.

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