An inverse problem for a differential operator with a mixed spectrum
type: Item
instance of: scholarly article
title: An inverse problem for a differential operator with a mixed spectrum
zbMATH Open document ID: 0557.34018
DOI: 10.1016/0022-247X(85)90107-6
author: Harry Hochstadt
author: Wallace Goldberg
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The operator \(Ly=-y''+q(t)y\) on the interval [0,\(\infty)\) with a boundary condition sin \(\alpha\) y(0)\(+\cos \alpha y'(0)=0\), under the assumption \(q(t+\pi)=q(t)\) is investigated. It is shown that the specification of only a finite number of eigenvalues leads to a unique determination of q(t), provided the continuous spectrum of L has only a finite number of finite intervals and one infinite interval.
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 34B30
zbMATH DE Number: 3888071
MaRDI profile type: Publication
cites work: Q3278549
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description: scientific article; zbMATH DE number 3888071