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...
Published in: | Journal of Computational and Applied Mathematics |
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Main Author: | |
Format: | Conference paper |
Language: | English |
Published: |
2011
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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 |
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. |
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ISSN: | 3770427 |
DOI: | 10.1016/j.cam.2010.10.029 |