Analysis of Sturm-Liouville eigenproblem with interior singularities and a perturbation parameter
type: Item
instance of: scholarly article
title: Analysis of Sturm-Liouville eigenproblem with interior singularities and a perturbation parameter
zbMATH Open document ID: 1407.34121
DOI: 10.1155/2014/914527
author: Thomas Mbah Acho
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We devote this work to the discussion underpinning the derivation of eigenvalues and eigenfunction solutions for Sturm-Liouville boundary value problems. The study reveals that the parameter dependent nonstandard Sturm-Liouville boundary value problem with interior singularities may have more than two turning points. The Titchmarsh-Weyl \(m\)-function theory is applied here to obtain eigenfunction solutions valid for the whole interval in which pole singularities and two turning points are present. For the first time, with minimal constraints, the validity of the eigenfunction solutions are discussed when there are more than two turning points present. The eigenvalues are subsequently derived.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34E20
zbMATH DE Number: 7017595
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/914527
OpenAlex ID: W2121390983
Wikidata QID: Q59070700
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description: scientific article; zbMATH DE number 7017595