Error estimate of eigenvalues of perturbed higher-order discrete vector boundary value problems
type: Item
instance of: scholarly article
title: Error estimate of eigenvalues of perturbed higher-order discrete vector boundary value problems
zbMATH Open document ID: 1470.39030
DOI: 10.1155/2014/437506
author: Haiyan Lv
author: Yuming Shi
author: Guojing Ren
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with the eigenvalues of perturbed higher-order discrete vector boundary value problems. A suitable admissible function space is first introduced, a new variational formula of eigenvalues is then established under certain nonsingularity conditions, and error estimates of eigenvalues of problems with small perturbation are finally given by using the variational formula. As a direct consequence, continuous dependence of eigenvalues on boundary value problems is obtained under the nonsingularity conditions. In addition, two special perturbed cases are discussed.
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 7022393
Wikidata QID: Q59038254
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/437506
OpenAlex ID: W2047667355
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description: scientific article; zbMATH DE number 7022393