Dependence of eigenvalues of a class of higher-order Sturm-Liouville problems on the boundary
type: Item
instance of: scholarly article
title: Dependence of eigenvalues of a class of higher-order Sturm-Liouville problems on the boundary
zbMATH Open document ID: 1394.34177
DOI: 10.1155/2015/686102
author: Qiuxia Yang
author: Xingchao Gao
author: Wanyi Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We show that the eigenvalues of a class of higher-order Sturm-Liouville problems depend not only continuously but also smoothly on boundary points and that the derivative of the \(n\)th eigenvalue as a function of an endpoint satisfies a first order differential equation. In addition, we prove that as the length of the interval shrinks to zero all \(2k\)th-order Dirichlet eigenvalues march off to plus infinity; this is also true for the first (i.e., lowest) eigenvalue.
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34B08
zbMATH DE Number: 6926984
Wikidata QID: Q59118924
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/686102
OpenAlex ID: W2086422282
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description: scientific article; zbMATH DE number 6926984