Borg-type theorem for the missing eigenvalue problem
type: Item
instance of: scholarly article
title: Borg-type theorem for the missing eigenvalue problem
zbMATH Open document ID: 1271.34018
published in: Applied Mathematics Letters
publication date: 2013-03-07T00:00:00Z
review text: For the boundary value problem \[ -y''+q(x)y=\lambda y,\quad y'(0,\lambda)-h_0y(0,\lambda)=y'(1)-h_1y(1,\lambda)=0, \] the author proves a Borg-type theorem for a missing eigenvalue. He shows that two spectra missing one eigenvalue are sufficient to determine the potential \(q\) and the coefficients \(h_0\), \(h_1\).
reviewed by: Alexey Fedoseev
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 6142815
zbMATH Keywords: Borg theorem
zbMATH Keywords: inverse problem
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: missing eigenvalue
zbMATH Keywords: spectrum
author: Yuping Wang
MaRDI profile type: Publication
full work available at URL: j.aml.2012.11.007
OpenAlex ID: W1975748611
DOI: 10.1016/J.AML.2012.11.007
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description: scientific article; zbMATH DE number 6142815