Positive solutions of BVPs on the half-line involving functional BCs

Abstract

We study the existence of positive solutions on the half-line of a second order ordinary differential equation subject to functional boundary conditions. Our approach relies on a combination between the fixed point index for operators on compact intervals, a fixed point result for operators on noncompact sets, and some comparison results for principal and nonprincipal solutions of suitable auxiliary linear equations.

arXiv comment13 pages

References in corpus (2)

• Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence
• A Dirichlet problem on the half-line for nonlinear equations with indefinite weight

Cited by in corpus (1)

• Asymptotic properties of PDEs in compact spaces