Sturm-Liouville problems with impulse effects

B. Chanane*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

This paper deals with the computation of the eigenvalues of Sturm-Liouville problems with several discontinuity conditions inside a finite interval and parameter dependent boundary conditions using the regularized sampling method. A few examples are worked out by computing several eigenvalues and their corresponding eigenfunctions.

Original languageEnglish
Pages (from-to)610-626
Number of pages17
JournalApplied Mathematics and Computation
Volume190
Issue number1
DOIs
StatePublished - 1 Jul 2007

Keywords

  • Discontinuous Sturm-Liouville problems
  • Impulsive Sturm-Liouville problems
  • Interface conditions
  • Regularized sampling method
  • Shannon's sampling theory
  • Transmission conditions
  • Whittaker-Shannon-Kotel'nikov theorem

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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