Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

Kablan, Abdullah; Çetin, Mehmet Akif

doi:10.28924/2291-8639-16-2018-25

Research Article

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

Abdullah Kablan¹*
Mehmet Akif Çetin¹

Gaziantep University

* Corresponding author

Abstract

The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix eigenvalue problem which has the same eigenvalue with the former Sturm-Liouville operator. Moreover an example is also presented.

How to Cite

A. Kablan, M. A. Çetin, Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems, Int. J. Anal. Appl. 16 (2018), 25–37. https://doi.org/10.28924/2291-8639-16-2018-25

BibTeX

@article{Kablan2018,
  author  = {Kablan, Abdullah and Çetin, Mehmet Akif},
  title   = {Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {25--37},
  doi     = {10.28924/2291-8639-16-2018-25}
}

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