On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems

We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.

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Bibliographic Details
Main Authors: Blaise Kone, Stanislas Ouaro
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/927607
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author Blaise Kone
Stanislas Ouaro
author_facet Blaise Kone
Stanislas Ouaro
author_sort Blaise Kone
collection DOAJ
description We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6e67835a7d7f48be8cdd6bceb2ad5e862025-02-03T05:58:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/927607927607On the Solvability of Discrete Nonlinear Two-Point Boundary Value ProblemsBlaise Kone0Stanislas Ouaro1Laboratoire d'Analyse Mathématique des Equations (LAME), Institut Burkinabé des Arts et Métiers, Université de Ouagadougou, 03 BP 7021, Ouagadougou 03, Burkina FasoLaboratoire d'Analyse Mathématique des Equations (LAME), UFR Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021, Ouagadougou 03, Burkina FasoWe prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.http://dx.doi.org/10.1155/2012/927607
spellingShingle Blaise Kone
Stanislas Ouaro
On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
International Journal of Mathematics and Mathematical Sciences
title On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
title_full On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
title_fullStr On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
title_full_unstemmed On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
title_short On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
title_sort on the solvability of discrete nonlinear two point boundary value problems
url http://dx.doi.org/10.1155/2012/927607
work_keys_str_mv AT blaisekone onthesolvabilityofdiscretenonlineartwopointboundaryvalueproblems
AT stanislasouaro onthesolvabilityofdiscretenonlineartwopointboundaryvalueproblems