First-Order Three-Point Boundary Value Problems at Resonance Part III

The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of th...

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Main Authors: Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/357651
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author Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
author_facet Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
author_sort Mesliza Mohamed
collection DOAJ
description The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-3ec7add8dc014c67a9c083f92837d6ba2025-02-03T06:06:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/357651357651First-Order Three-Point Boundary Value Problems at Resonance Part IIIMesliza Mohamed0Bevan Thompson1Muhammad Sufian Jusoh2Jabatan Matematik dan Statistik, Universiti Teknologi MARA Perlis, 02600 Arau, MalaysiaDepartment of Mathematics, The University of Queensland, Brisbane, QLD 4072, AustraliaFakulti kejuruteraan Awam, Universiti Teknologi MARA Perlis, 02600 Arau, MalaysiaThe main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.http://dx.doi.org/10.1155/2012/357651
spellingShingle Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
First-Order Three-Point Boundary Value Problems at Resonance Part III
Journal of Applied Mathematics
title First-Order Three-Point Boundary Value Problems at Resonance Part III
title_full First-Order Three-Point Boundary Value Problems at Resonance Part III
title_fullStr First-Order Three-Point Boundary Value Problems at Resonance Part III
title_full_unstemmed First-Order Three-Point Boundary Value Problems at Resonance Part III
title_short First-Order Three-Point Boundary Value Problems at Resonance Part III
title_sort first order three point boundary value problems at resonance part iii
url http://dx.doi.org/10.1155/2012/357651
work_keys_str_mv AT meslizamohamed firstorderthreepointboundaryvalueproblemsatresonancepartiii
AT bevanthompson firstorderthreepointboundaryvalueproblemsatresonancepartiii
AT muhammadsufianjusoh firstorderthreepointboundaryvalueproblemsatresonancepartiii