EIGENFUNCTION EXPANSIONS OF IMPULSIVE q-STURM-LIOUVILLE PROBLEMS

Allahverdiyev B., TUNA H., Isayev H. A.

Siberian Electronic Mathematical Reports, vol.22, no.1, pp.800-812, 2025 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.33048/semi.2025.22.051
  • Journal Name: Siberian Electronic Mathematical Reports
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.800-812
  • Keywords: Difference equations, eigenfunction expansions, impulsive conditions, q-Sturm-Liouville problems
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this work, an impulsive q-Sturm-Liouville problem is studied. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.