Rad HAZU, Matematičke znanosti, Vol. 30 (2026), 141-157. \( \)

SPECTRAL EXPANSION FOR IMPULSIVE DYNAMIC DIRAC SYSTEM ON THE WHOLE LINE

Bilender P. Allahverdiev, Hüseyin Tuna and Hamlet A. Isayev

Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan
Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan
e-mail:bilenderpasaoglu@gmail.com

Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey
Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan
e-mail:hustuna@gmail.com

Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan
e-mail:hamlet@khazar.org

Abstract.   In this study, we consider an impulsive dynamic Dirac system on the whole line. A spectral function of this system is constructed. We establish a Parseval equality and expansion formula in terms of the spectral function.

2020 Mathematics Subject Classification.   34N05 34A36, 33D15, 34L40, 34L10.

Key words and phrases.   Dynamic equations on time scales, impulsive Dirac system, Parseval equality, spectral expansion.

Full text (PDF) (free access)

https://doi.org/10.21857/moxpjh7kjm

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