University of Tabriz Computational Methods for Differential Equations 2345-3982 14 1 2026 11 01 On the resolvent operator of a singular impulsive Hahn–Dirac system 129 144 18991 10.22034/cmde.2024.59198.2515 EN Bilender P Allahverdiev 1. Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan.\\ 2. Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan. Huseyin Tuna 1. Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan. \\ 2. Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey. Hamlet A Isayev Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan. Journal Article 2023 11 12  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. Difference equations Hahn–Dirac system discontinuous equations resolvent https://cmde.tabrizu.ac.ir/article_18991_4c5520a6422e7744d2e1f464018cbe68.pdf