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

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Abdullah Kablan, Mehmet Akif Çetin, Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems, Int. J. Anal. Appl., 16 (1) (2018), 25-37.

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Abdullah Kablan, Mehmet Akif Çetin

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.

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References

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