Spectral exactness and spectral inclusion for singular left-definite Sturm-Liouville problems
type: Item
instance of: scholarly article
title: Spectral exactness and spectral inclusion for singular left-definite Sturm-Liouville problems
zbMATH Open document ID: 1063.34022
DOI: 10.1007/BF03323384
author: Anton Zettl
author: Marco Marletta
published in: Results in Mathematics
publication date: 2004-11-26T00:00:00Z
review text: This paper deals with singular left-definite Sturm-Liouville problems associated with the equation \[ -(py^{\prime})^{\prime}+qy=\lambda wy\tag{1} \] on \(J=(a,b)\) and suitable boundary conditions, where \(-\infty\leq a<b\leq\infty\), \(1/p,q,w\in L^{1}_{loc}(J;\mathbb{R})\), \(p>0\), \(|w|>0\) a.e. on \(J\), and \(w\) changes sign on \(J\). The authors discuss the approximation of the discrete and continuous spectra of (1) on \(J\) with the eigenvalues of \((1)\) on truncated intervals.
reviewed by: Kazushi Yoshitomi
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 2119248
zbMATH Keywords: singular Sturm-Liouville equations
zbMATH Keywords: left-definite problems
zbMATH Keywords: spectral approximations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2119248