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

Kadriye AYDEMİR; Oktay MUKHTAROV

doi:https://doi.org/10.53570/jnt.1018600

Makale detayları

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

Yazarlar:

Kadriye AYDEMİR | Oktay MUKHTAROV

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 37, pp.26-34

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490241

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1018600

Özet:

 

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.

Makale detayları

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

Yazarlar: Kadriye AYDEMİR | Oktay MUKHTAROV

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Theory 2021 Issue 37, pp.26-34

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000490241

Sıklık: Üç Aylık

pISSN: 2149-1402

DOI: https://doi.org/10.53570/jnt.1018600

Sayı

Yazarlar:

Kadriye AYDEMİR | Oktay MUKHTAROV

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 37, pp.26-34

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490241

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1018600