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

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.

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Correspondence to Josef Diblík.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baštinec, J., Diblík, J. & Šmarda, Z. Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations. Bound Value Probl 2009, 137451 (2009). https://doi.org/10.1155/2009/137451

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Keywords

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