Spectral expansion for singular beta Sturm–Liouville problems

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

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

Аннотация: 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.

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

Язык публикации: английский

DOI: 10.15826/umj.2024.2.001

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