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

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...

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Main Authors: Zdeněk Šmarda, Josef Diblík, Jaromír Baštinec
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/137451
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author Zdeněk Šmarda
Josef Diblík
Jaromír Baštinec
author_facet Zdeněk Šmarda
Josef Diblík
Jaromír Baštinec
author_sort Zdeněk Šmarda
collection DOAJ
description 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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spelling doaj.art-03fe61d3aa20438190aa26f2fc3d3d062022-12-21T18:27:50ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/137451Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential EquationsZdeněk ŠmardaJosef DiblíkJaromír BaštinecA 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.http://dx.doi.org/10.1155/2009/137451
spellingShingle Zdeněk Šmarda
Josef Diblík
Jaromír Baštinec
Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
Boundary Value Problems
title Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
title_full Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
title_fullStr Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
title_full_unstemmed Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
title_short Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
title_sort multipoint singular boundary value problem for systems of nonlinear differential equations
url http://dx.doi.org/10.1155/2009/137451
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