Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

E. Sen*, O. Sh Mukhtarov, K. Orucoglu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalIranian Journal of Science and Technology, Transaction A: Science
Volume40
Issue number1
DOIs
Publication statusPublished - Mar 2016

Bibliographical note

Publisher Copyright:
© Shiraz University 2016.

Keywords

  • Eigenfunction
  • Eigenvalue
  • Resolvent operator
  • Sturm-liouville problem
  • Transmission conditions

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