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

AIMS Mathematics

Gennaro Infante¹  Serena Matucci² 

[1] 1. Dipartimento di Matematica e Informatica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy;2. Department of Mathematics and Computer Science "Ulisse Dini", University of Florence, 50139 Florence, Italy;

关键词: fixed point index;    cone;    positive global solution;    functional boundary condition;   

DOI  :  10.3934/math.2021285

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown