Bilender P. Allahverdiev, Hüseyin Tuna, Yüksel Yalçinkaya, “Spectral expansion for singular beta Sturm–Liouville problems”, Ural Math. J., 2024, Volume 10, Issue 2,Pages <nobr>4

Spectral expansion for singular beta Sturm–Liouville problems

Bilender P. Allahverdiev^ab, Hüseyin Tuna^bc, Yüksel Yalçinkaya^d

^a Khazar University, Department of Mathematics
^b UNEC-Azerbaijan State University of Economics
^c Mehmet Akif Ersoy University
^d Suleyman Demirel University, Kaskelen, Almaty

Abstract: 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.

Keywords: Sturm–Liouville theory, Fractional derivatives and integrals, Spectral expansion

Language: English

DOI: 10.15826/umj.2024.2.001