On the Hald-Gesztesy-Simon theorem
type: Item
instance of: scholarly article
title: On the Hald-Gesztesy-Simon theorem
zbMATH Open document ID: 1270.34025
published in: Integral Equations and Operator Theory
publication date: 2013-01-03T00:00:00Z
review text: For the boundary value problem \[ -y''+q(x)y=\lambda y,\quad y'(0)-H_1y(0)=y'(a)+H_2y(a)=0, \] the inverse problem of recovering \(q(x)\), \(x\in(a/2,a]\) and \(H_2\) is studied when the potential \(q(x)\), \(x\in[0,a/2]\), the coefficient \(H_1\) and the spectrum are known a priori. Sufficient conditions for the solvability of this inverse problem are established.
reviewed by: Alexey Fedoseev
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 6121607
zbMATH Keywords: Sturm-Liouville equation
zbMATH Keywords: Hochstadt-Lieberman theorem
zbMATH Keywords: half-inverse problem
author: V. Pivovarchik
MaRDI profile type: Publication
full work available at URL: s00020-012-1966-8
OpenAlex ID: W2050922390
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cites work: Q3955832
DOI: 10.1007/S00020-012-1966-8
description: scientific article; zbMATH DE number 6121607