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Recovering differential pencils with spectral boundary conditions and spectral jump conditions

dc.contributor.authorKhalili, Yasser
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-07T12:03:13Z
dc.date.available2022-12-07T12:03:13Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, we discuss the inverse problem for second order differential pencils with boundary and jump conditions dependent on the spectral parameter. We establish the following uniqueness theorems: (i) the potentials qk(x) and boundary conditions of such a problem can be uniquely established by some information on eigenfunctions at some internal point b∈(π2,π) and parts of two spectra; (ii) if one boundary condition and the potentials qk(x) are prescribed on the interval [π/ 2 (1 − α) , π] for some α∈ (0 , 1) , then parts of spectra S⊆ σ(L) are enough to determine the potentials qk(x) on the whole interval [0 , π] and another boundary condition.en_US
dc.identifier.citationKhalili, Yasser; Baleanu, Dumitru (2020). "Recovering differential pencils with spectral boundary conditions and spectral jump conditions", Journal of Inequalities and Applications, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13660-020-02537-z
dc.identifier.issn1025-5834
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5960
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDifferential Pencilen_US
dc.subjectInverse Problemen_US
dc.subjectSpectral Boundary Conditionen_US
dc.subjectSpectral Jump Conditionen_US
dc.titleRecovering differential pencils with spectral boundary conditions and spectral jump conditionstr_TR
dc.titleRecovering Differential Pencils With Spectral Boundary Conditions and Spectral Jump Conditionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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