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The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions

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info:eu-repo/semantics/openAccess

Date

2021

Author

Aydemir, Kadriye
Mukhtarov, Oktay

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Abstract

In this paper, we study the periodic Sturm-Liouville problem, defined on three non-intersecting intervals with four supplementary conditions which are imposed at two internal points of interaction, the so-called transmission conditions. We first prove that the eigenvalues are real and the system of eigenfunctions is an orthogonal system. Secondly, some auxiliary initial-value problems are defined and transmittal-characteristic function is constructed in terms of solutions of these initial-value problems. Finally, we establish that the eigenvalues of the considered problem are the zeros of the transmittal-characteristic function.

Volume

2021

Issue

37

URI

https://doi.org/10.53570/jnt.1018600
https://search.trdizin.gov.tr/yayin/detay/532591
https://hdl.handle.net/20.500.12450/3412

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  • TR-Dizin İndeksli Yayınlar Koleksiyonu [1323]



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