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On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions

dc.contributor.authorKhalili, Yasser
dc.contributor.authorKadkhoda, Nematollah
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:20:51Z
dc.date.available2021-01-28T12:20:51Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present work, we consider the inverse problem for the impulsive Sturm-Liouville equations with eigenparameter-dependent boundary conditions on the whole interval (0,pi) from interior spectral data. We prove two uniqueness theorems on the potential q(x) and boundary conditions for the interior inverse problem, and using the Weyl function technique, we show that if coefficients of the first boundary condition, that is, h(1),h(2), are known, then the potential function q(x) and coefficients of the second boundary condition, that is, H-1,H-2, are uniquely determined by information about the eigenfunctions at the midpoint of the interval and one spectrum or partial information on the eigenfunctions at some internal points and some of two spectra.en_US
dc.description.publishedMonth8
dc.identifier.citationKhalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru (2020). "On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 43, No. 11, pp. 7143-7151.en_US
dc.identifier.doi10.1002/mma.6453
dc.identifier.endpage7151en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue12en_US
dc.identifier.startpage7143en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4488
dc.identifier.volume43en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectImpulsive Sturm-Liouville Operatoren_US
dc.subjectInterior Inverse Problemen_US
dc.subjectSpectral Boundary Conditionen_US
dc.subjectSpectrumen_US
dc.subjectWeyl Functionen_US
dc.titleOn the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditionstr_TR
dc.titleOn the Determination of the Impulsive Sturm-Liouville Operator With the Eigenparameter-Dependent Boundary Conditionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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