The cubic eigenparameter dependent discrete Dirac equations with principal functions

KÖPRÜBAŞI, Turhan

doi:10.31801/cfsuasmas.454232

The cubic eigenparameter dependent discrete Dirac equations with principal functions

Yazarlar (1)

Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye

Makale Türü	Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı	COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Dergi ISSN	1303-5991
Dergi Tarandığı Indeksler	TR DİZİN
Makale Dili	İngilizce	Basım Tarihi	01-2019
Kabul Tarihi	–	Yayınlanma Tarihi	01-07-2019
Cilt / Sayı / Sayfa	68 / 2 / 1742–1760	DOI	10.31801/cfsuasmas.454232
Makale Linki	http://dergipark.gov.tr/doi/10.31801/cfsuasmas.454232
UAK Araştırma Alanları	Matematiksel Analiz

Özet

Let us consider the Boundary Value Problem (BVP) for the discrete Dirac Equations {┊ #0.1 a_{n+1}y_{n+1}⁽²⁾+b_{n}y_{n}⁽²⁾+p_{n}y_{n}⁽¹⁾=λy_{n}⁽¹⁾ a_{n-1}y_{n-1}⁽¹⁾+b_{n}y_{n}⁽¹⁾+q_{n}y_{n}⁽²⁾=λy_{n}⁽²⁾ , n∈ℕ, (γ₀+γ₁λ+γ₂λ²+γ₃λ³)y₁⁽²⁾+(β₀+β₁λ+β₂λ²+β₃λ³)y₀⁽¹⁾=0, #0.2 where (a_{n}), (b_{n}), (p_{n}) and (q_{n}), n∈ℕ are complex sequences, γ_{i}, β_{i}∈ℂ, i=0,1,2 and λ is a eigenparameter. Discussing the eigenvalues and the spectral singularities, we prove that the BVP (0.1), (0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, if ∑_{n=1}^{∞}exp(εn^{δ})(|1-a_{n}|+|1+b_{n}|+|p_{n}|+|q_{n}|)<∞, holds, for some ε>0 and (1/2)≤δ≤1.

Anahtar Kelimeler

Discrete Dirac equations | eigenparameter | spectral analysis | spectrum | principal functions

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Atıf Sayıları
Web of Science	3

The cubic eigenparameter dependent discrete Dirac equations with principal functions

The cubic eigenparameter dependent discrete Dirac equations with principal functions

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