MISCELLANEOUS PROPERTIES OF STURM-LIOUVILLE PROBLEMS IN MULTIPLICATIVE CALCULUS

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Atıf İçin Kopyala

ÖZNUR G. B., ÖZBEY G. G., AYGAR KÜÇÜKEVCİLİOĞLU Y., Karaman R. A.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.4, ss.1141-1154, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 4
• Basım Tarihi: 2023
• Doi Numarası: 10.31801/cfsuasmas.1272953
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.1141-1154
• Orta Doğu Teknik Üniversitesi Adresli: Evet

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.