Spectrum of the quadratic eigenparameter dependent discrete Dirac equations
Yazarlar (1)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Advances in Difference Equations (Q4)
Dergi ISSN 1687-1839
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 05-2014
Cilt / Sayı / Sayfa 2014 / 1 / 148–0 DOI 10.1186/1687-1847-2014-148
Makale Linki http://dx.doi.org/10.1186/1687-1847-2014-148
Özet
Let us consider the Boundary Value Problem (BVP) for the discrete Dirac equations {equation presented}, where (an), (bn), (p n) and (qn), n ∈ N are complex sequences, γii ∈ C, i = 0, 1, 2, and λ is an eigenparameter. Discussing the eigenvalues and the spectral singularities, we prove that this BVP has a finite number of eigenvalues and spectral singularities with a finite number of multiplicities, if {equation presented}, holds, for some ε > 0 and 1/2 ≤ δ ≤ 1. ©2014 Koprubasi; licensee Springer.
Anahtar Kelimeler
Discrete Dirac equations | Discrete spectrum | Eigenparameter | Spectral analysis | Spectral singularities