Electron. J. Differential Equations, Vol. 2023 (2023), No. 74, pp. 1-10.

Impulsive regular q-Dirac systems

Bilender P. Allahverdiev, Huseyin Tuna, Hamlet A. Isayev

Abstract:
This article concerns a regular q-Dirac system under impulsive conditions. We study the existence of solutions, symmetry of the corresponding operator, eigenvalues and eigenfunctions of the system. Also we obtain Green's function and its basic properties.

Submitted August 1, 2023. Published October 27, 2023.
Math Subject Classifications: 39A13, 34A36, 34L40, 34B27.
Key Words: Difference equations; q-Dirac system; Green's function.
DOI: 10.58997/ejde.2023.74

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Bilender P. Allahverdiev
Department of Mathematics
Khazar University
AZ1096 Baku, Azerbaijan
email: bilenderpasaoglu@gmail.com
Huseyin Tuna
Department of Mathematics
Mehmet Akif Ersoy University
15030 Burdur, Turkey
email: hustuna@gmail.com
Hamlet A. Isayev
Department of Mathematics
Khazar University
AZ1096 Baku, Azerbaijan
email: hamlet@khazar.org

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