On a Fourth Order Boundary Value Problem with Periodic and Transmission Conditions

Olgun Cabri

Makale detayları

On a Fourth Order Boundary Value Problem with Periodic and Transmission Conditions

Yazarlar:

Olgun Cabri

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.700-705

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001345225

pISSN:

2536-4618

Anahtar kelimeler:

Özet:

 This study investigates the asymptotic expressions of eigenvalues and eigenfunctions for a fourth-order boundary value problem subject to periodic boundary conditions. It is also examined in the problem with transmission boundary conditions at zero. At t0, one of the transmission boundary conditions have jump discontinuity. Firstly, asymptotic formulas of fundamental solutions are found. The asymptotic formulas of the eigenvalues are computed by the aid of Rouche method. Finally corresponding eigenfunctions to these eigenvalues are presented.

 This study investigates the asymptotic expressions of eigenvalues and eigenfunctions for a fourth-order boundary value problem subject to periodic boundary conditions. It is also examined in the problem with transmission boundary conditions at zero. At t0, one of the transmission boundary conditions have jump discontinuity. Firstly, asymptotic formulas of fundamental solutions are found. The asymptotic formulas of the eigenvalues are computed by the aid of Rouche method. Finally corresponding eigenfunctions to these eigenvalues are presented.

 This study investigates the asymptotic expressions of eigenvalues and eigenfunctions for a fourth-order boundary value problem subject to periodic boundary conditions. It is also examined in the problem with transmission boundary conditions at zero. At t0, one of the transmission boundary conditions have jump discontinuity. Firstly, asymptotic formulas of fundamental solutions are found. The asymptotic formulas of the eigenvalues are computed by the aid of Rouche method. Finally corresponding eigenfunctions to these eigenvalues are presented.

 This study investigates the asymptotic expressions of eigenvalues and eigenfunctions for a fourth-order boundary value problem subject to periodic boundary conditions. It is also examined in the problem with transmission boundary conditions at zero. At t0, one of the transmission boundary conditions have jump discontinuity. Firstly, asymptotic formulas of fundamental solutions are found. The asymptotic formulas of the eigenvalues are computed by the aid of Rouche method. Finally corresponding eigenfunctions to these eigenvalues are presented.

Makale detayları

On a Fourth Order Boundary Value Problem with Periodic and Transmission Conditions

Yazarlar:

Olgun Cabri

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.700-705

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001345225

pISSN:

2536-4618

periodic boundary conditions

Fourth order problem

trasmission conditions

Sayı

Makale detayları

On a Fourth Order Boundary Value Problem with Periodic and Transmission Conditions

Yazarlar: Olgun Cabri

Yayıncı: Igdir University

Ana Başlıklar: Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.700-705

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001345225

pISSN: 2536-4618

periodic boundary conditions

Fourth order problem

trasmission conditions

Sayı

Yazarlar:

Olgun Cabri

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.700-705

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001345225

pISSN:

2536-4618