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
UAK Araştırma Alanları
Fen Bilimleri ve Matematik
Özet
Let us consider the Boundary Value Problem (BVP) for the discrete Dirac equations , , , (γ0+γ1λ+γ2λ2)y1(2)+(β0+β1λ+β2λ2)y0(1)=0, where , , and , are complex sequences, , , 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 ∑n=1∞exp(εnδ)(|1−an|+|1+bn|+|pn|+|qn|)<∞, holds, for some and .MSC:34L40, 47A10, 47A75.
Anahtar Kelimeler
Discrete Dirac equations | Discrete spectrum | Eigenparameter | Spectral analysis | Spectral singularities