Eigenfunction Expansions for Singular Impulsive Dynamic Dirac Systems


Allahverdiev B., Tuna H., Isayev H. A.

Iranian Journal of Science, vol.49, no.2, pp.511-517, 2025 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 49 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.1007/s40995-025-01783-4
  • Journal Name: Iranian Journal of Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.511-517
  • Keywords: Dirac operator, Discontinuous equations, Dynamic equations on time scales, Eigenfunction expansions
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this article, a spectral function for the singular impulsive dynamic Dirac system is obtained. In terms of this function, the Parseval equality and expansion formula in eigenfunctions is given.