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Nonlinear three-point third-order boundary value problems
Journal article   Peer reviewed

Nonlinear three-point third-order boundary value problems

Abdelkader Boucherif and Nawal Al-Malki
Applied mathematics and computation, Vol.190(2), pp.1168-1177
15/07/2007
DOI: https://doi.org/10.1016/j.amc.2007.02.039

Abstract

A priori bound on solutions Granas topological transversality theorem Schaefer fixed point theorem Third-order differential equations Three-point boundary value problems
In this paper we consider three-point boundary value problems for third-order differential equations. We provide simple sufficient conditions in order to obtain a priori bounds on solutions. We then rely on the topological transversality theorem of Granas or on Schaefer’s theorem to prove existence of solutions.

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