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SOME SPECTRAL AND SCATTERING PROPERTIES OF GENERALIZED EIGENPARAMETER DEPENDENT DISCRETE TRANSMISSION STURM-LIOUVILLE EQUATION

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dc.contributor.authorÖzbey, G.G.
dc.contributor.authorÖznur, G.B.
dc.contributor.authorAygar, Y.
dc.contributor.authorKöprübasi, T.
dc.date.accessioned2024-01-10T09:21:31Z
dc.date.available2024-01-10T09:21:31Z
dc.date.issued2023.01.01
dc.description.abstractIn this study, we set a boundary value problem (BVP) consisting of a discrete Sturm-Liouville equation with transmission condition and boundary conditions depending on generalized eigenvalue parameter. Discussing the Jost and scattering solutions of this BVP, we present scattering function and find some properties of this function. Furthermore, we obtain resolvent operator, continuous and discrete spectrum of this problem and we give an valuable asymptotic equation to get the properties of eigenvalues. Finally, we give an example to compare our results with other studies.
dc.identifier.doi10.5831/HMJ.2023.45.3.457
dc.identifier.eissn2288-6176
dc.identifier.endpage470
dc.identifier.issn1225-293X
dc.identifier.issue3
dc.identifier.startpage457
dc.identifier.urihttps://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=dspace_ku&SrcAuth=WosAPI&KeyUT=WOS:001103986500010&DestLinkType=FullRecord&DestApp=WOS
dc.identifier.urihttps://hdl.handle.net/20.500.12597/18105
dc.identifier.volume45
dc.identifier.wos001103986500010
dc.language.isoen
dc.relation.ispartofHONAM MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDiscrete equation
dc.subjecttransmission condition
dc.subjectscattering solution
dc.subjecteigenvalue
dc.subjectresolvent operator
dc.subjectJost solution
dc.titleSOME SPECTRAL AND SCATTERING PROPERTIES OF GENERALIZED EIGENPARAMETER DEPENDENT DISCRETE TRANSMISSION STURM-LIOUVILLE EQUATION
dc.typeArticle
dspace.entity.typeWos

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