Eigenfunction expansion for impulsive singular Hahn–Dirac system

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

Rendiconti del Circolo Matematico di Palermo, vol.73, no.5, pp.2001-2016, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1007/s12215-024-01028-0
  • Journal Name: Rendiconti del Circolo Matematico di Palermo
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.2001-2016
  • Keywords: 33D15, 34A36, 34L10, 34L40, 39A13, Discontinuous equations, Eigenfunction expansion, Hahn–Dirac system, Spectral function
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, a singular impulsive Hahn–Dirac system is studied. A spectral function has been established for this type of system. With the help of this function, the Parseval equation and eigenfunction expansion were obtained.