Errata article for "Three point boundary value problems for ordinary differential equations, uniqueness implies existence"

Abstract

This paper serves as an errata for the article "P. W. Eloe, J. Henderson, J. Neugebauer, Electron. J. Qual. Theory Differ. Equ. 2020, No. 74, 1–15." In particular, the proof the authors give in that paper of Theorem 3.6 is incorrect, and so, that alleged theorem remains a conjecture. In this erratum, the authors state and prove a correct theorem.

Keywords

• uniqueness implies existence
• nonlinear interpolation
• ordinary differential equations
• three point boundary value problems