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A third order boundary value problem with nonlinear growth at resonance on the half‐axis |
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| Authors: | Smaïl Djebali Lamine Guedda |
| Affiliation: | 1. Department of Mathematics, Faculty of Sciences, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia;2. Laboratoire “Théorie du Point Fixe et Applications” ENS, Algiers, Algeria;3. Département de Maths‐Informatique, Hamma Lakhdar University, El‐Oued |
| Abstract: | 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 © 2016 John Wiley & Sons, Ltd. |
| Keywords: | third‐order ode multi‐point half‐line nonlinear growth resonance coincidence degree |