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RESEARCH ARTICLE
Boundary values for an eigenvalue problem with a singular potential
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1 Department of Mathematics, Faculty of Science, Firat University,
Turkey
Received: 1 July 2017 | Accepted: 27 October 2017 | Published online: 12 December 2017
© 2017 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract
In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem
Keywords
Spectrum
invers problem
eigenvalue
second-orderdifferential equation
symmetric potential
Conflict of interest
The authors declare they have no competing interests.