Spectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions

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dc.contributor.authorCol, Aynur
dc.date.accessioned2025-03-23T19:08:43Z
dc.date.available2025-03-23T19:08:43Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractWe consider the Sturm-Liouville problem on the half line (0 ≤ x < ∞), where the boundary conditions contain polynomials of the spectral parameter. We define the scat- tering function and present the spectrum of the boundary value problem. The continuity of the scattering function is discussed. In a special case, the Levinson-type formula is intro- duced, demonstrating that the increment of the scattering function’s logarithm is related to the number of eigenvalues.
dc.identifier.doi10.53570/jnt.1501326
dc.identifier.endpage10
dc.identifier.issn2149-1402
dc.identifier.issue48
dc.identifier.startpage1
dc.identifier.trdizinid1270633
dc.identifier.urihttps://doi.org/10.53570/jnt.1501326
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1270633
dc.identifier.urihttps://hdl.handle.net/11486/3188
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorCol, Aynur
dc.language.isoen
dc.relation.ispartofJournal of New Theory
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR_20250323
dc.subjectScattering function
dc.subjectLevinson-type formula
dc.subjectspectral parameter dependent boundary condition
dc.titleSpectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions
dc.typeArticle

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