On a multi-point discrete boundary value problem

We study the existence and non-existence of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions. The proof of the existence of positive solutions is based upon the Schauder fixed point theorem.

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Bibliographic Details
Published inJournal of difference equations and applications Vol. 19; no. 4; pp. 690 - 699
Main Authors Henderson, Johnny, Luca, Rodica
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.04.2013
Taylor & Francis Ltd
Subjects
Boundary conditions
Boundary value problems
Difference equations
Differential equations
Existence theorems
Mathematical analysis
multi-point boundary conditions
Nonlinear equations
Nonlinearity
positive solutions
Proving
Theorems
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Summary:We study the existence and non-existence of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions. The proof of the existence of positive solutions is based upon the Schauder fixed point theorem.
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ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2012.678839