A note on spectral properties of a Dirac system with matrix coefficient
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.10, sa.4, ss.1459-1469, 2017 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 4
- Basım Tarihi: 2017
- Doi Numarası: 10.22436/jnsa.010.04.15
- Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
- Sayfa Sayıları: ss.1459-1469
- Anahtar Kelimeler: Discrete Dirac system, spectral analysis, Jost solution, eigenvalue, OPERATORS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we find a polynomial-type Jost solution of a self-adjoint matrix-valued discrete Dirac system. Then we investigate analytical properties and asymptotic behavior of this Jost solution. Using the Weyl compact perturbation theorem, we prove that matrix-valued discrete Dirac system has continuous spectrum filling the segment [- 2, 2]. Finally, we examine the properties of the eigenvalues of this Dirac system and we prove that it has a finite number of simple real eigenvalues. (C) 2017 All rights reserved.