First-order three-point boundary value problems at resonance

We consider three-point boundary value problems for a system of first-order equations in perturbed systems of ordinary differential equations at resonance. We obtain new results for the above boundary value problems with nonlinear boundary conditions. The existence of solutions is established by app...

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Bibliographic Details
Published in:Journal of Computational and Applied Mathematics
Main Author: Mohamed M.; Thompson B.; Jusoh M.S.
Format: Conference paper
Language:English
Published: 2011
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-79958251631&doi=10.1016%2fj.cam.2010.10.029&partnerID=40&md5=b8cfa9a8fa0676f55a763febb605249a
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Summary:We consider three-point boundary value problems for a system of first-order equations in perturbed systems of ordinary differential equations at resonance. We obtain new results for the above boundary value problems with nonlinear boundary conditions. The existence of solutions is established by applying a version of Brouwer's Fixed Point Theorem which is due to Miranda. © 2011 Published by Elsevier B.V. All rights reserved.
ISSN:3770427
DOI:10.1016/j.cam.2010.10.029