Singular discrete dirac equations

Allahverdiyev B., TUNA H.

Mathematica Slovaca, vol.75, no.4, pp.869-880, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 4
  • Publication Date: 2025
  • Doi Number: 10.1515/ms-2025-0063
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.869-880
  • Keywords: Difference equations, discrete Dirac systems, Weyl theory and its generalizations
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

This paper investigates singular discrete Dirac equations and establishes famous Weyls classification for these equations. First, the limit-circle and limit-point classifications are obtained. Then, the existence of boundary conditions is demonstrated. Finally, it is shown that the limit-circle case does not occur for these equations.