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

AYDEMİR, Kadriye; Mukhtarov, Oktay

doi:10.53570/jnt.1018600

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

Kadriye AYDEMİR, (Amasya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Amasya, Türkiye)

Oktay MUKHTAROV (Tokat Gaziosmanpaşa Üniversitesi, Matematik Bölümü, Fen-Edebiyat Fakültesi, Tokat, Türkiye)

Journal of New Theory

36 0

Yıl: 2021 Cilt: 2021 Sayı: 37 Sayfa Aralığı: 26 - 34 Metin Dili: İngilizce DOI: 10.53570/jnt.1018600 İndeks Tarihi: 07-07-2022

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

Öz:

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.

Anahtar Kelime:

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APA	AYDEMİR K, Mukhtarov O (2021). The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. , 26 - 34. 10.53570/jnt.1018600
Chicago	AYDEMİR Kadriye,Mukhtarov Oktay The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. (2021): 26 - 34. 10.53570/jnt.1018600
MLA	AYDEMİR Kadriye,Mukhtarov Oktay The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. , 2021, ss.26 - 34. 10.53570/jnt.1018600
AMA	AYDEMİR K,Mukhtarov O The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. . 2021; 26 - 34. 10.53570/jnt.1018600
Vancouver	AYDEMİR K,Mukhtarov O The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. . 2021; 26 - 34. 10.53570/jnt.1018600
IEEE	AYDEMİR K,Mukhtarov O "The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions." , ss.26 - 34, 2021. 10.53570/jnt.1018600
ISNAD	AYDEMİR, Kadriye - Mukhtarov, Oktay. "The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions". (2021), 26-34. https://doi.org/10.53570/jnt.1018600

APA	AYDEMİR K, Mukhtarov O (2021). The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. Journal of New Theory, 2021(37), 26 - 34. 10.53570/jnt.1018600
Chicago	AYDEMİR Kadriye,Mukhtarov Oktay The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. Journal of New Theory 2021, no.37 (2021): 26 - 34. 10.53570/jnt.1018600
MLA	AYDEMİR Kadriye,Mukhtarov Oktay The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. Journal of New Theory, vol.2021, no.37, 2021, ss.26 - 34. 10.53570/jnt.1018600
AMA	AYDEMİR K,Mukhtarov O The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. Journal of New Theory. 2021; 2021(37): 26 - 34. 10.53570/jnt.1018600
Vancouver	AYDEMİR K,Mukhtarov O The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions. Journal of New Theory. 2021; 2021(37): 26 - 34. 10.53570/jnt.1018600
IEEE	AYDEMİR K,Mukhtarov O "The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions." Journal of New Theory, 2021, ss.26 - 34, 2021. 10.53570/jnt.1018600
ISNAD	AYDEMİR, Kadriye - Mukhtarov, Oktay. "The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions". Journal of New Theory 2021/37 (2021), 26-34. https://doi.org/10.53570/jnt.1018600