Fractal Sturm–Liouville problems

Allahverdiev B., Tuna H., Golmankhaneh A. K.

Integral Transforms and Special Functions, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1080/10652469.2025.2506101
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Keywords: eigenfunction expansions, Fractal differential equations, Green's function, Sturm–Liouville theory
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, fractal Sturm–Liouville problems are considered. First, minimal and maximal operators corresponding to such problems are defined and a symmetric operator is obtained. Then Green's function is constructed and an eigenfunction expansion theorem is obtained. Finally, some examples are given.