Impulsive Dirac System on Time Scales

Allahverdiev B. P., Tuna H.

Ukrainian Mathematical Journal, vol.75, no.6, pp.827-841, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.1007/s11253-023-02231-5
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.827-841
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

We consider an impulsive Dirac system on Sturmian time scales and present an existence theorem for this system. Maximal, minimal, and self-adjoint operators generated by the impulsive dynamic Dirac system are constructed. We also construct the Green function for this problem. Finally, an eigenfunction expansion is obtained.