Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Güler Başak Öznur; Güher Gülçehre Özbey; Yelda Aygarküçükevcilioğlu; Rabia Aktaş

Makale detayları

Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Yazarlar:

Güler Başak Öznur | Güher Gülçehre Özbey | Yelda Aygarküçükevcilioğlu | Rabia Aktaş

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.1141-1154

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303620

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville S-L problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results.

 The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville S-L problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results.

 The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville S-L problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results.

 The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville S-L problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results.

Makale detayları

Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Yazarlar:

Güler Başak Öznur | Güher Gülçehre Özbey | Yelda Aygarküçükevcilioğlu | Rabia Aktaş

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.1141-1154

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303620

pISSN:

1303-5991

Multiplicative calculus

multiplicative derivative

multiplicative integral

Sturm-Liouville equation

Sayı

Makale detayları

Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Yazarlar: Güler Başak Öznur | Güher Gülçehre Özbey | Yelda Aygarküçükevcilioğlu | Rabia Aktaş

Yayıncı: Ankara University

Ana Başlıklar: Mathematical Sciences

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.1141-1154

Belge Tipi: Makale

Yayın Tarihi: 12/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001303620

pISSN: 1303-5991

Multiplicative calculus

multiplicative derivative

multiplicative integral

Sturm-Liouville equation

Sayı

Yazarlar:

Güler Başak Öznur | Güher Gülçehre Özbey | Yelda Aygarküçükevcilioğlu | Rabia Aktaş

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.1141-1154

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303620

pISSN:

1303-5991