Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
The spectrum of discrete Dirac operator with a general boundary condition
Advances in Difference Equations · Aralık 2020
YÖKSİS Kayıtları
The spectrum of discrete Dirac operator with a general boundary condition
Advances in Difference Equations · 2020 SCI-Expanded
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Makale Bilgileri
DergiAdvances in Difference Equations
Yayın TarihiAralık 2020
Cilt / Sayfa2020
Scopus ID2-s2.0-85089083538
Erişim🔓 Açık Erişim
Özet
In this paper, we aim to investigate the spectrum of the nonselfadjoint operator L generated in the Hilbert space l2(N, C2) by the discrete Dirac system{yn+1(2)−yn(2)+pnyn(1)=λyn(1),−yn(1)+yn−1(1)+qnyn(2)=λyn(2),n∈N, and the general boundary condition∑n=0∞hnyn=0, where λ is a spectral parameter, Δ is the forward difference operator, (hn) is a complex vector sequence such that hn=(hn(1),hn(2)), where hn(i)∈l1(N)∩l2(N), i= 1 , 2 , and h0(1)≠0. Upon determining the sets of eigenvalues and spectral singularities of L, we prove that, under certain conditions, L has a finite number of eigenvalues and spectral singularities with finite multiplicity.
Yazarlar (2)
1
Nimet Coskun
ORCID: 0000-0001-9753-0101
2
Nihal Yokus
ORCID: 0000-0002-5327-2312
Anahtar Kelimeler
Dirac equation
Discrete equation
Eigenparameter
Eigenvalues
Spectral analysis
Spectral singularities
Kurumlar
Karamanoğlu Mehmetbey Üniversitesi
Karaman Turkey
Metrikler
1
Atıf
2
Yazar
6
Anahtar Kelime