English

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

Classical Analysis and ODEs 2021-03-29 v1

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.

Keywords

Cite

@article{arxiv.2012.14731,
  title  = {Positive solutions of BVPs on the half-line involving functional BCs},
  author = {Gennaro Infante and Serena Matucci},
  journal= {arXiv preprint arXiv:2012.14731},
  year   = {2021}
}

Comments

13 pages