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Spectrum and scattering function of the impulsive discrete Dirac systems

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In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of… Click to show full abstract

In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of these equations. Then we obtain characteristic properties of the scattering function of the impulsive discrete Dirac systems. Therefore, we find the Jost function, point spectrum, and scattering function of the unperturbed impulsive equations.

Keywords: discrete dirac; scattering function; function impulsive; function; impulsive discrete

Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018

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