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- MakaleAçık Erişim2024Scopus SJRQ2THE SPECTRUM AND PRINCIPAL FUNCTIONS OF A NONSELF-ADJOINT STURM-LIOUVILLE OPERATOR WITH DISCONTINUITY CONDITIONS
Kosar, N.P.; Akcay, O.
This paper deals with the nonself-adjoint Sturm-Liouville operator (or one-dimensional time-independent Schrödinger operator) with discontinuity conditions on the positive half line. In this study, the spectral singularities and the eigenvalues are investigated and it is proved that this problem has a finite number of spectral singularities and eigenvalues with finite multiplicities under two additional conditions. Moreover, we determine the principal functions with respect to the eigenvalues and the spectral singularities of this operator.
- MakaleAçık Erişim2024Scopus SJRQ4Investigation 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.
