The inverse spectral problem for differential operators with nonseparated boundary conditions
type: Item
instance of: scholarly article
title: The inverse spectral problem for differential operators with nonseparated boundary conditions
zbMATH Open document ID: 0972.34011
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-11-18T00:00:00Z
review text: The paper is devoted to the study of the inverse spectral problem for the selfadjoint operator \(L=L(q(x), a,d,b)\), \(q\in L^2(0;\pi)\), \(a,d,b\in\mathbb{R}\), generated by the differential expression \(ly=-y''+qy\) and the nonseparated boundary conditions \(y'(0)-ay(0) +by(\pi)=0\), \(y'(\pi)+ dy(\pi)-by(0)=0\). A stability and a uniqueness theorem on the solution to the inverse problem are proved. A characterization of the spectrum of \(L\) and the solution to the inverse problem are also given.
reviewed by: Mihai Pascu
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1539409
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: nonseparated boundary conditions
author: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7098
OpenAlex ID: W2031300110
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DOI: 10.1006/JMAA.2000.7098
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description: scientific article; zbMATH DE number 1539409