Spectrum and scattering function of the impulsive discrete Dirac systems

Authors

ELGIZ BAIRAMOV
ŞEYDA SOLMAZ

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.

DOI

10.3906/mat-1806-5

Keywords

Dirac systems, Jost solution, scattering function, eigenvalues

First Page

3182

Last Page

3194

Recommended Citation

BAIRAMOV, ELGIZ and SOLMAZ, ŞEYDA (2018) "Spectrum and scattering function of the impulsive discrete Dirac systems," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 28. https://doi.org/10.3906/mat-1806-5
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/28