Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\)
type: Item
instance of: scholarly article
title: Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\)
zbMATH Open document ID: 0947.65091
DOI: 10.1016/S0377-0427(99)00302-7
published in: Journal of Computational and Applied Mathematics
publication date: 2000-03-23T00:00:00Z
review text: This paper deals with an eigenvalue problem described by the second-order selfadjoint differential operator in Sturm-Liouville form, which is regarded as singular when it is defined on an infinite interval of \(x\). An approach to obtaining rigorous upper and lower bounds for the eigenvalues is presented. Numerical results for Dirichlet and Neumann boundary value problems of this type illustrate the efficiency of this method.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 1423342
zbMATH Keywords: singular Sturm-Liouville problems
zbMATH Keywords: numerical results
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: upper and lower bounds
author: H. Taşeli
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
cites work: Q5848416
cites work: Optimale Eigenwerteinschließungen
cites work: Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
cites work: Bounds for eigenvalues of second-order elliptic differential operators
cites work: Q4355908
cites work: Exact solutions for vibrational levels of the Morse potential
cites work: Q5332373
full work available at URL: s0377-0427(99)00302-7
OpenAlex ID: W4205452203
description: scientific article; zbMATH DE number 1423342