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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 570=30, 2026.

Original scientific paper

https://doi.org/10.21857/moxpjh7kjm

Spectral expansion for impulsive dynamic Dirac system on the whole line

Bilender P. Allahverdiev ; Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan
Hüseyin Tuna orcid id orcid.org/0000-0001-7240-8687 ; Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey
Hamlet A. Isayev ; Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan

Full text: english pdf 505 Kb

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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.

Keywords

Dynamic equations on time scales; impulsive Dirac system; Parseval equality; spectral expansion.

Hrčak ID:

344367

URI

https://hrcak.srce.hr/344367

Publication date:

10.2.2026.

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