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

Autor: Gennaro Infante, Serena Matucci
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 5, Pp 4860-4872 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021285?viewType=HTML
Popis: 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.
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