SPECTRAL EXPANSION FOR SINGULAR BETA STURM–LIOUVILLE PROBLEMS

Allahverdiev B., Tuna H., Yalçınkaya Y.

Ural Mathematical Journal, vol.10, no.2, pp.4-14, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.15826/umj.2024.2.001
  • Journal Name: Ural Mathematical Journal
  • Journal Indexes: Scopus
  • Page Numbers: pp.4-14
  • Keywords: Fractional derivatives and integrals, Spectral expansion, Sturm–Liouville theory
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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.