Munzur ÜniversitesiMunzur ÜniversitesiAçık Erişim Arşivi · RDL Open

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  • MakaleAçık Erişim2024Scopus SJRQ4
    Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator

    Akçay, Özge; Koşar, Nida Palamut

    In 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.

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  • MakaleYalnız künye2022Scopus SJRQ3
    On the investigation of a discontinuous Sturm-Liouville operator of scattering theory

    Akcay, Ozge

    This paper deals with the investigation of the direct scattering problem for the Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The integral representation of the Jost solution is obtained and the properties of its kernel function are given. A total collection of the scattering data is constructed and the behavior of the scattering function at infinity is examined.

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