Sturm-Liouville problems with parameter dependent potential and boundary conditions

  • B. Chanane*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This paper deals with the computation of the eigenvalues of Sturm-Liouville problems with parameter dependent potential and boundary conditions. We shall extend the domain of application of the method based on sampling theory to the case where the classical Whittaker-Shannon-Kotel'nikov theorem is not applicable. A few numerical examples will be presented.

Original languageEnglish
Pages (from-to)282-290
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume212
Issue number2
DOIs
StatePublished - 1 Mar 2008

Bibliographical note

Funding Information:
The author thanks King Fahd University of Petroleum and Minerals for its constant support and by supporting this work through the Grant MS/SPECTRAL/269.

Keywords

  • Eigenvalue problems
  • Indefinite Sturm-Liouville problems
  • Quadratic pencil
  • Sampling theory
  • Sturm-Liouville problems

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Sturm-Liouville problems with parameter dependent potential and boundary conditions'. Together they form a unique fingerprint.

Cite this