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Spectral properties of generalized eigenparameter dependent discrete Sturm-Liouville type equation

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dc.contributor.authorKoprubasi, Turhan
dc.contributor.authorMohapatra, R.N.
dc.date.accessioned2026-01-03T10:02:14Z
dc.date.issued2017-04-10
dc.description.abstractLet L denote the non-selfadjoint difference operator of second order with boundary condition generated in ℓ2 (ℕ) byan-1yn-1 + bnyn + anyn+1 = λyn ; n ∈ ℕ;   (0.1)pΣk=0 (y1γk + y0βk) λk = 0;                    (0.2)where {an} n∈ℕ and {bn} n∈ℕ are complex sequences, γi; βi ∈ ℂ; i = 0; 1; 2; ...; p andλ is a eigenparameter. Discussing the spectral properties of L, we investigate theJost function, spectrum, the spectral singularities, and the properties of the principalvectors corresponding to the spectral singularities of L, if∞Σn=1  n(∣1 - an∣ + ∣bnl) < ∞Mathematics Subject Classication (2010): 34L05, 34L40, 39A70, 47A10, 47A75.Key words: Discrete equations, eigenparameter, spectral analysis, eigenvalues, spectralsingularities, principal functions.
dc.description.urihttps://doi.org/10.2989/16073606.2017.1299809
dc.description.urihttps://www.ajol.info/index.php/qm/article/view/158236
dc.description.urihttps://dx.doi.org/10.2989/16073606.2017.1299809
dc.description.urihttps://aperta.ulakbim.gov.tr/record/44755
dc.description.urihttps://doi.org/https://doi.org/10.2989/16073606.2017.1299809
dc.identifier.doi10.2989/16073606.2017.1299809
dc.identifier.eissn1727-933X
dc.identifier.endpage505
dc.identifier.issn1607-3606
dc.identifier.openairedoi_dedup___::b7de1ee0ce09f8498283424d2db3b8c8
dc.identifier.orcid0000-0003-1551-1527
dc.identifier.orcid0000-0002-5502-3934
dc.identifier.scopus2-s2.0-85017420050
dc.identifier.startpage491
dc.identifier.urihttps://hdl.handle.net/20.500.12597/36439
dc.identifier.volume40
dc.identifier.wos000404278900006
dc.language.isoeng
dc.publisherNational Inquiry Services Center (NISC)
dc.relation.ispartofQuaestiones Mathematicae
dc.rightsOPEN
dc.subjectspectral singularities
dc.subjectDiscrete equations, eigenparameter, spectral analysis, eigenvalues, spectral singularities, principal functions.
dc.subjectDiscrete equations
dc.subjecteigenparameter
dc.subjecteigenvalues
dc.subjectprincipal functions
dc.subjectspectral analysis
dc.subject.sdg4. Education
dc.titleSpectral properties of generalized eigenparameter dependent discrete Sturm-Liouville type equation
dc.typeArticle
dspace.entity.typePublication
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