The spectrum of discrete Dirac operator with a general boundary condition

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dc.authorid0000-0001-9753-0101en_US
dc.authorid0000-0002-5327-2312en_US
dc.contributor.authorCoşkun, Nimet
dc.contributor.authorYokuş, Nihal
dc.date.accessioned2020-09-07T12:37:27Z
dc.date.available2020-09-07T12:37:27Z
dc.date.issued2020en_US
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000561107900002en_US
dc.description.abstractIn 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 <disp-formula id="Equa">{<mml:mtable><mml:mtr><mml:mtd columnalign="left">yn+1(2)</mml:msubsup>-yn(2)</mml:msubsup>+pnyn(1)</mml:msubsup>=lambda yn(1)</mml:msubsup>,</mml:mtd></mml:mtr><mml:mtr><mml:mtd columnalign="left">-yn(1)</mml:msubsup>+yn-1(1)+<mml:msub>qnyn(2)=lambda yn(2),</mml:mtd></mml:mtr></mml:mtable><mml:mspace width="1em"></mml:mspace>n is an element of N,<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="13662_2020_2851_Article_Equa.gif" position="anchor"></graphic></disp-formula> and the general boundary condition <disp-formula id="Equb"><mml:munderover>Sigma n=0 infinity</mml:munderover><mml:msub>hn<mml:msub>yn=0,<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="13662_2020_2851_Article_Equb.gif" position="anchor"></graphic></disp-formula> where lambda is a spectral parameter, Delta is the forward difference operator, (<mml:msub>hn) is a complex vector sequence such that <mml:msub>hn=(hn(1),hn(2)), where hn(i)is an element of l1(N)l2(N), i=1,2, and h0(1)not equal 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.en_US
dc.identifier.citationCoşkun, N., Yokuş, N. (2020). The spectrum of discrete Dirac operator with a general boundary condition. Advances in Difference Equations, 2020, 1, 1-9.en_US
dc.identifier.doi10.1186/s13662-020-02851-2
dc.identifier.endpage9en_US
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85089083538
dc.identifier.scopusqualityN/A
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-020-02851-2
dc.identifier.urihttps://hdl.handle.net/11492/3649
dc.identifier.volume2020en_US
dc.identifier.wosWOS:000561107900002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorCoşkun, Nimet
dc.institutionauthorYokuş, Nihal
dc.language.isoen
dc.publisherHindawien_US
dc.relation.journalAdvances in Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEigenparameteren_US
dc.subjectSpectral Analysisen_US
dc.subjectEigenvaluesen_US
dc.subjectSpectral Singularitiesen_US
dc.subjectDiscrete Equationen_US
dc.subjectDirac Equationen_US
dc.subject39A10en_US
dc.subject39A12en_US
dc.subject47A10en_US
dc.subject47A75en_US
dc.titleThe spectrum of discrete Dirac operator with a general boundary conditionen_US
dc.typeArticle

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