On the resolvent operator of a singular impulsive Hahn–Dirac system

ALLAHVERDİYEV B., TUNA H., Isayev H. A.

Computational Methods for Differential Equations, vol.14, no.1, pp.129-144, 2026 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.22034/cmde.2024.59198.2515
  • Journal Name: Computational Methods for Differential Equations
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.129-144
  • Keywords: Difference equations, discontinuous equations, Hahn–Dirac system, resolvent
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, we consider impulsive singular Hahn–Dirac systems. Green’s function and a spectral function for these systems are constructed. Finally, an integral representation of the resolvent operator is obtained.