2026-10-29T22:55:51Zhttps://munzur-rdlopen.rawdatalibrary.net/oai/request

oai:munzur-rdlopen.rawdatalibrary.net:munzur/16062026-10-28T15:28:55Zopenairedrivercom_munzur_1col_munzur_2com_munzur_8col_munzur_154

Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville OperatorAkçay, ÖzgeKoşar, Nida PalamutDiscontinuity conditionsDiscontinuous coefficientEigenvalues and spectral singularitiesNonself-adjoint Sturm-Liouville operatorPrincipal functionsIn this paper, we study nonself-adjoint Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The eigenvalues and the spectral singularities of this problem are examined and it is proved that this problem has a finite number of spectral singularities and eigenvalues with finite multiplicities under two different additional conditions. Furthermore, the principal functions corresponding to the eigenvalues and the spectral singularities of this operator are determined.Murat TOSUN2024Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/1606https://doi.org/10.36753/mathenot.14105362147-6268enMathematical Sciences and Applications E-Notesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/1606