Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems
type: Item
instance of: scholarly article
title: Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems
zbMATH Open document ID: 1069.34039
author: P. A. Binding
author: Patrick J. Browne
author: Bruce A. Watson
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-10T00:00:00Z
review text: The authors study the boundary value problem for the Sturm-Liouville equation \(-y''+q(x)y=\lambda y\), \(0<x<1\), with the boundary conditions \(y(0)\cos\alpha=y'(0)\sin\alpha\), \((y'/y)(1)=f(\lambda)\), where \(f(\lambda)\) is a rational function. Formulae are given for constructing the Weyl function from the eigenvalues and the norming constants of this boundary value problem.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 2085585
zbMATH Keywords: Sturm-Liouville operators
zbMATH Keywords: Weyl-function
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: j.cam.2004.01.005
OpenAlex ID: W2077192568
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DOI: 10.1016/J.CAM.2004.01.005
description: scientific article; zbMATH DE number 2085585