SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS

Bilender P. Allahverdiev; Hüseyin Tuna; Yüksel Yalçinkaya

doi:10.15826/umj.2024.2.001

Ural Mathematical Journal (Dec 2024)

SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS

Bilender P. Allahverdiev,
Hüseyin Tuna,
Yüksel Yalçinkaya

Affiliations

Bilender P. Allahverdiev: Department of Mathematics, Khazar University, 41 Mahsati Str., AZ1096 Baku, Azerbaijan; UNEC-Azerbaijan State University of Economics, 6 Istiglaliyyat Str., Baku, Azerbaijan
Hüseyin Tuna: Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey; UNEC-Azerbaijan State University of Economics, 6 Istiglaliyyat Str., Baku, Azerbaijan
Yüksel Yalçinkaya: Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey

DOI: https://doi.org/10.15826/umj.2024.2.001
Journal volume & issue: Vol. 10, no. 2

Abstract

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In this study, beta Sturm–Liouville problems are discussed. For such equations, the spectral function is established in the singular case. A spectral expansion is given with the help of this function.

sturm–liouville theory, fractional derivatives and integrals, spectral expansion

Published in Ural Mathematical Journal

ISSN: 2414-3952 (Online)
Publisher: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
Country of publisher: Russian Federation
LCC subjects: Science: Mathematics
Website: https://umjuran.ru

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