On the resolvent operator of a singular impulsive Hahn–Dirac system

نویسندگان
Tuna, Huseyin ID 1
Allahverdiev, Bilender P ID 2
Isayev, Hamlet A ID 3

1 1. Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan. \\ 2. Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey.

2 1. Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan.\\ 2. Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan.

3 Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan.

doi
10.22034/cmde.2024.59198.2515
چکیده

 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.

کلیدواژه‌ها
Difference equations, Hahn–Dirac system, discontinuous equations, resolvent