Spectral Analysis of Discrete Dirac Equation with Generalized Eigenparameter in Boundary Condition

KÖPRÜBAŞI, Turhan; Mohapatra, Ram N

doi:10.2298/FIL1918039K

Spectral Analysis of Discrete Dirac Equation with Generalized Eigenparameter in Boundary Condition

Yazarlar (2)

Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye

Ram N Mohapatra
University Of Central Florida, Amerika Birleşik Devletleri

Makale Türü	Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı	Filomat (Q2)
Dergi ISSN	0354-5180 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	SCI-Expanded
Makale Dili	İngilizce	Basım Tarihi	01-2019
Kabul Tarihi	–	Yayınlanma Tarihi	01-01-2019
Cilt / Sayı / Sayfa	33 / 18 / 6039–6054	DOI	10.2298/FIL1918039K
Makale Linki	https://doi.org/10.2298/FIL1918039K

Özet

Let L denote the discrete Dirac operator generated in ℓ2 (N, C 2⁾ by the non-selfadjoint difference operators of first order { an+1 y^{(2) +b}n+1 n y⁽²⁾ n + pn y⁽¹⁾ n = λy⁽¹⁾ n an−1 y^{(1) +b}n−1 n y⁽¹⁾ n + qn y⁽²⁾ n = λy⁽²⁾ n, n ∈ N, with boundary condition (0.1) p∑ k=0 (y (2) 1^γk + y⁽¹⁾ 0^βk) λ^k = 0, (0.2) where (an), (bn), (pn) and (qn), n ∈ N are complex sequences, γi, βi ∈ C, i = 0, 1, 2, …, p and λ is a eigenparameter. We discuss the spectral properties of L and we investigate the properties of the spectrum and the principal vectors corresponding to the spectral singularities of L, if ∞∑ |n|⁽|1 − an | + |1 + bn | +^∣ ∣ ∣pn ∣∣ ∣∣∣ qn ∣∣∣) + < ∞n=1 holds.

Anahtar Kelimeler

Atıf Sayıları
Web of Science	4
Scopus	4

Spectral Analysis of Discrete Dirac Equation with Generalized Eigenparameter in Boundary Condition

Dergi Adı	Filomat
Yayıncı	Universitet of Nis
Açık Erişim	Hayır
ISSN	0354-5180
E-ISSN	0354-5180
CiteScore	1,3
SJR	0,467
SNIP	0,837

Spectral Analysis of Discrete Dirac Equation with Generalized Eigenparameter in Boundary Condition

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