Titchmarsh-Weyl theory for impulsive Hahn-Dirac systems

Authors

  • B.P. Allahverdiev Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan; Research Center of Econophysics, Azerbaijan State University of Economics, AZ1001 Baku, Azerbaijan
  • H. Tuna Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey; Research Center of Econophysics, Azerbaijan State University of Economics, AZ1001 Baku, Azerbaijan https://orcid.org/0000-0001-7240-8687
  • H.A. Isayev Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan
https://doi.org/10.15330/cmp.18.1.278-288

Keywords:

difference equation, discontinuous equation, Hahn-Dirac system, Titchmarsh-Weyl theory
Published online: 2026-06-28

Abstract

In this article, the Titchmarsh-Weyl theory of the impulsive Hahn-Dirac system is studied. The limit-circle and limit-point classifications of the singular point $\zeta =\infty $ of the impulsive Hahn-Dirac system are obtained. Additionally, it will demonstrate that the limit-circle situation for the impulsive Hahn-Dirac system does not exist.

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How to Cite
(1)
Allahverdiev, B.; Tuna, H.; Isayev, H. Titchmarsh-Weyl Theory for Impulsive Hahn-Dirac Systems. Carpathian Math. Publ. 2026, 18, 278-288.