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arXiv · 2012.14731

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

Gennaro Infante·Serena Matucci
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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.

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Gennaro Infante, Serena Matucci. 2020-12-29. Positive solutions of BVPs on the half-line involving functional BCs. https://doi.org/10.3934/math.2021285

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