Investigation of the spectrum and the Jost solutions of discrete Dirac system on the whole axis
نویسندگان
چکیده
where (pn) and (qn), n ∈ Z are real sequences, and λ is an eigenparameter. We find a polynomial type Jost solution of this BVP. Then we investigate the analytical properties and asymptotic behavior of the Jost solution. Using the Weyl compact perturbation theorem, we prove that a self-adjoint discrete Dirac system has a continuous spectrum filling the segment [–2, 2]. We also prove that the Dirac system has a finite number of real eigenvalues.
منابع مشابه
Jost Solution and the Spectrum of the Discrete Dirac Systems
Elgiz Bairamov, Yelda Aygar, and Murat Olgun Department of Mathematics, Ankara University, Tandoğan, 06100 Ankara, Turkey Correspondence should be addressed to Elgiz Bairamov, [email protected] Received 14 September 2010; Accepted 10 November 2010 Academic Editor: Raul F. Manasevich Copyright q 2010 Elgiz Bairamov et al. This is an open access article distributed under the Creative...
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