Errata article for "Three point boundary value problems for ordinary differential equations, uniqueness implies existence"
نویسندگان
چکیده
This paper serves as an errata for the article “P. W. Eloe, J. Henderson, Neugebauer, Electron. Qual. Theory Differ. Equ. 2020, No. 74, 1–15.” In particular, proof authors give in that of Theorem 3.6 is incorrect, and so, alleged theorem remains a conjecture. this erratum, state prove correct theorem.
منابع مشابه
Uniqueness implies existence for three-point boundary value problems for dynamic equations
K e y w o r d s T i m e scale, Boundary value problem, Dynamic equation, Shooting method. 1. I N T R O D U C T I O N This paper is devoted to boundary value problems for dynamic equations on time scales. It is assumed that , by this time in the development of the theory, the reader is familiar with time scale calculus and notation for delta differentiation, as well as concepts for dynamic equat...
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Shooting methods are used to obtain solutions of the three-point boundary value problem for the second order dynamic equation, y = f(x, y, y), y(x1) = y1, y(x3) − y(x2) = y2, where f : (a, b)T × R → R is continuous , x1 < x2 < x3 in (a, b)T, y1, y2 ∈ R, and T is a time scale. It is assumed such solutions are unique when they exist. 2000 AMS Subject Classification: 39B10
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2021
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2021.1.44