On‎ ‎inverse problem for singular Sturm-Liouville operator with‎ ‎discontinuity conditions

Document Type : Research Paper


Cumhuriyet University


‎In this study‎, ‎properties of spectral characteristic are investigated for‎ ‎singular Sturm-Liouville operators in the case where an eigen‎ ‎parameter not only appears in the differential equation but is‎ ‎also linearly contained in the jump conditions‎. ‎Also Weyl function‎ ‎for considering operator has been defined and the theorems which‎ ‎related to uniqueness of solution of inverse problem according to‎ ‎Weyl function and two spectra have been proved‎.


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