Analysis of Sturm-Liouville Eigenproblem with Interior Singularities and a Perturbation Parameter
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Acho, Thomas Mbah. 2014. Analysis of Sturm-Liouville Eigenproblem with Interior Singularities and a Perturbation Parameter. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-507677
Modern Language Association (MLA)
Acho, Thomas Mbah. Analysis of Sturm-Liouville Eigenproblem with Interior Singularities and a Perturbation Parameter. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-507677
American Medical Association (AMA)
Acho, Thomas Mbah. Analysis of Sturm-Liouville Eigenproblem with Interior Singularities and a Perturbation Parameter. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-507677
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507677