Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints
type: Item
instance of: scholarly article
title: Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints
zbMATH Open document ID: 1088.34018
DOI: 10.1007/BF03323382
author: Lingju Kong
author: Hongyou Wu
author: Anton Zettl
author: Qingkai Kong
published in: Results in Mathematics
publication date: 2004-11-26T00:00:00Z
review text: The authors investigate the general limit-circle Sturm-Liouville problem (SLP) with separated or coupled boundary conditions. A theory for continuous eigenvalue branches of a one-parameter family of ``induced realizations'' is established. Results are then extended from regular to singular SLPs for selfadjoint realization \(S\). Every eigenvalue of \(S\) is the limit of such a continuous eigenvalue branch. Cases of interest are when at least one endpoint is oscillatory or the leading coefficient function changes sign, leading to jump discontinuities in the continuous eigenvalue branch. Results could be used to construct algorithms for the numerical computation of eigenvalue of SLPs.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 2119246
zbMATH Keywords: singular Sturm-Liouville problem
zbMATH Keywords: selfadjoint realization
zbMATH Keywords: limit-circle endpoint
reviewed by: Shlomo Carmi
describes a project that uses: SLEIGN2
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03323382
OpenAlex ID: W2006208715
description: scientific article; zbMATH DE number 2119246