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Spectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition

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dc.contributor.authorKoprubasi, Turhan
dc.contributor.authorMohapatra, Ram N.
dc.date.accessioned2026-01-04T12:37:05Z
dc.date.issued2019-01-01
dc.description.abstractLet L denote the discrete Dirac operator generated in ?2 (N,C2) by the non-selfadjoint difference operators of first order (an+1y(2)n+1 + bny(2)n + pny(1)n = ?y(1)n, an-1y(1)n-1 + bny(1)n + qny(2)n = ?y(2)n, n ? N, (0.1) with boundary condition Xp k=0 (y(2)1?k + y(1)0 ?k)?k=0, (0.2) where (an), (bn), (pn) and (qn), n ? N are complex sequences, ?i; ?i ? C, i = 0, 1, 2,..., p and ? 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 |n|(|1-an| + |1+bn| + |pn| + |qn|) < ? holds.
dc.description.urihttps://doi.org/10.2298/fil1918039k
dc.description.urihttp://www.doiserbia.nb.rs/ft.aspx?id=0354-51801918039K
dc.description.urihttps://zbmath.org/7537861
dc.description.urihttps://dx.doi.org/10.2298/fil1918039k
dc.description.urihttps://aperta.ulakbim.gov.tr/record/72057
dc.identifier.doi10.2298/fil1918039k
dc.identifier.eissn2406-0933
dc.identifier.endpage6054
dc.identifier.issn0354-5180
dc.identifier.openairedoi_dedup___::85a2efd3f55579106a4bb08677148331
dc.identifier.orcid0000-0002-5502-3934
dc.identifier.scopus2-s2.0-85077901882
dc.identifier.startpage6039
dc.identifier.urihttps://hdl.handle.net/20.500.12597/37170
dc.identifier.volume33
dc.identifier.wos000506382900024
dc.language.isoeng
dc.publisherNational Library of Serbia
dc.relation.ispartofFilomat
dc.rightsOPEN
dc.subjectdiscrete spectrum
dc.subjectspectral singularities
dc.subjectEigenvalue problems for linear operators
dc.subjecteigenparameter
dc.subjectprincipal functions
dc.subjectDifference operators
dc.subjectSpectrum, resolvent
dc.subjectdiscrete Dirac equations
dc.subjectspectral analysis
dc.subject.sdg4. Education
dc.titleSpectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition
dc.typeArticle
dspace.entity.typePublication
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