First-order three-point boundary value problems at resonance

Authors:
Mesliza Mohamed;Bevan Thompson;Muhammad Sufian Jusoh
Affiliations:
Fakulti Sains Komputer dan Matematik, Universiti Teknologi MARA (UiTM) Malaysia, 40450 Shah Alam, Selangor, Malaysia;Department of Mathematics, The University of Queensland, Queensland 4072, Australia;Fakulti Kejuruteraan Awam, Universiti Teknologi MARA (UiTM) Malaysia, 40450 Shah Alam, Selangor, Malaysia
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

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.