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A third order boundary value problem with nonlinear growth at resonance on the half‐axis
Author(s) -
Djebali Smaïl,
Guedda Lamine
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4202
Subject(s) - mathematics , sublinear function , coincidence , boundary value problem , nonlinear system , degree (music) , mathematical analysis , order (exchange) , resonance (particle physics) , third order , value (mathematics) , point (geometry) , boundary (topology) , geometry , law , statistics , physics , medicine , alternative medicine , finance , pathology , quantum mechanics , particle physics , political science , acoustics , economics
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.