Dirac System Associated with Hahn Difference Operator
Fatma H{\i}ra

TL;DR
This paper introduces a q,{}-Dirac system linked to the Hahn difference operator, exploring solutions, spectral properties, and asymptotic eigenvalue formulas, contributing to the mathematical understanding of such systems.
Contribution
It presents the first study of a Dirac system associated with the Hahn difference operator, including existence, uniqueness, and spectral analysis.
Findings
Existence and uniqueness of solutions established.
Spectral properties of the system analyzed.
Asymptotic formulas for eigenvalues derived.
Abstract
In this paper, we introduce q,{\omega}-Dirac system. We investigate the existence and uniqueness of solutions for this system and obtain some spectral properties based on the Hahn difference operator. Also we give two examples, which indicate that asymptotic formulas for eigenvalues.
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