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

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.

• third-order boundary value problems
• multi-point boundary value problems
• resonance
• nonlinear growth
• rays
• existence of solutions

• Nonlinear Differential Equations Analysis
• Differential Equations and Boundary Problems
• Fixed Point Theorems Analysis
• third-order boundary value problems
• multi-point boundary value problems
• resonance
• nonlinear growth
• rays
• existence of solutions
• Applied Mathematics
• Geometry and Topology
• Mathematics