Corrigenda to “Two-point boundary value problems for ordinary differential equations, uniqueness implies existence”
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- by Paul W. Eloe and Johnny Henderson PDF
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Original Article: Proc. Amer. Math. Soc. 148 (2020), 4377-4387.
Abstract:
This paper serves as a corrigenda for the article P. W. Eloe and J. Henderson, “Two-point boundary value problems for ordinary differential equations, uniqueness implies existence”, Proc. Amer. Math. Soc. 148 (2020), 4377–4387. In particular, the proof the authors give in that paper of Theorem 3.3 is incorrect, and so, that alleged theorem remains a conjecture. In this corrigenda, the authors state and prove a correct theorem.References
- S. D. Conte, Elementary numerical analysis: An algorithmic approach, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1965. MR 0202267
- Paul W. Eloe and Johnny Henderson, Two-point boundary value problems for ordinary differential equations, uniqueness implies existence, Proc. Amer. Math. Soc. 148 (2020), no. 10, 4377–4387. MR 4135304, DOI 10.1090/proc/15115
- A. Lasota and Z. Opial, On the existence and uniqueness of solutions of a boundary value problem for an ordinary second-order differential equation, Colloq. Math. 18 (1967), 1–5. MR 219792, DOI 10.4064/cm-18-1-1-5
Additional Information
- Paul W. Eloe
- Affiliation: Department of Mathematics, University of Dayton, Dayton, Ohio 45469
- MR Author ID: 63110
- ORCID: 0000-0002-6590-9931
- Email: peloe1@udayton.edu
- Johnny Henderson
- Affiliation: Department of Mathematics, Baylor University, Waco, Texas 76798
- MR Author ID: 84195
- ORCID: 0000-0001-7288-5168
- Email: Johnny\underline{ }Henderson@baylor.edu
- Received by editor(s): April 20, 2021
- Published electronically: May 13, 2022
- Communicated by: Wenxian Shen
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 3649-3654
- MSC (2020): Primary 34B15; Secondary 34B10
- DOI: https://doi.org/10.1090/proc/15789
- MathSciNet review: 4439483