Yıl: 2023 Cilt: 72 Sayı: 4 Sayfa Aralığı: 1141 - 1154 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1272953 İndeks Tarihi: 25-12-2023

Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Öz:
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.
Anahtar Kelime: Multiplicative calculus multiplicative derivative multiplicative integral Sturm-Liouville equation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Öznur G, ÖZBEY G, aygar y, Aktaş R (2023). Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. , 1141 - 1154. 10.31801/cfsuasmas.1272953
Chicago Öznur Güler Başak,ÖZBEY Güher Gülçehre,aygar yelda,Aktaş Rabia Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. (2023): 1141 - 1154. 10.31801/cfsuasmas.1272953
MLA Öznur Güler Başak,ÖZBEY Güher Gülçehre,aygar yelda,Aktaş Rabia Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. , 2023, ss.1141 - 1154. 10.31801/cfsuasmas.1272953
AMA Öznur G,ÖZBEY G,aygar y,Aktaş R Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. . 2023; 1141 - 1154. 10.31801/cfsuasmas.1272953
Vancouver Öznur G,ÖZBEY G,aygar y,Aktaş R Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. . 2023; 1141 - 1154. 10.31801/cfsuasmas.1272953
IEEE Öznur G,ÖZBEY G,aygar y,Aktaş R "Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus." , ss.1141 - 1154, 2023. 10.31801/cfsuasmas.1272953
ISNAD Öznur, Güler Başak vd. "Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus". (2023), 1141-1154. https://doi.org/10.31801/cfsuasmas.1272953
APA Öznur G, ÖZBEY G, aygar y, Aktaş R (2023). Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(4), 1141 - 1154. 10.31801/cfsuasmas.1272953
Chicago Öznur Güler Başak,ÖZBEY Güher Gülçehre,aygar yelda,Aktaş Rabia Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.4 (2023): 1141 - 1154. 10.31801/cfsuasmas.1272953
MLA Öznur Güler Başak,ÖZBEY Güher Gülçehre,aygar yelda,Aktaş Rabia Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.4, 2023, ss.1141 - 1154. 10.31801/cfsuasmas.1272953
AMA Öznur G,ÖZBEY G,aygar y,Aktaş R Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 1141 - 1154. 10.31801/cfsuasmas.1272953
Vancouver Öznur G,ÖZBEY G,aygar y,Aktaş R Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 1141 - 1154. 10.31801/cfsuasmas.1272953
IEEE Öznur G,ÖZBEY G,aygar y,Aktaş R "Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.1141 - 1154, 2023. 10.31801/cfsuasmas.1272953
ISNAD Öznur, Güler Başak vd. "Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/4 (2023), 1141-1154. https://doi.org/10.31801/cfsuasmas.1272953