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A third order boundary value problem with nonlinear growth at resonance on the half-axis
Journal article   Peer reviewed

A third order boundary value problem with nonlinear growth at resonance on the half-axis

Smail Djebali and Lamine Guedda
Mathematical methods in the applied sciences, Vol.40(8), pp.2859-2871
30/05/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is concerned with the solvability of a fully nonlinear third-order m-point boundary value problem at resonance posed on the half line. The nonlinearity which depends on the first and the second derivatives satisfies a sublinear-like growth condition. Our main existence result is based on Mawhin's coincidence degree theory. An illustrative example of application is included. Copyright (c) 2016 John Wiley & Sons, Ltd.

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