A third order boundary value problem with nonlinear growth at resonance on the half‐axis | Zendy

Djebali Smaïl | Zendy; Guedda Lamine | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research