Abstract
In this study, an inverse problem for Sturm-Liouville differential operators with discontinuities is studied when an eigenparameter appears not only in the differential equation but it also appears in the boundary condition. Uniqueness theorems of inverse problems according to the Prüfer angle, the Weyl function and two different eigenvalues sets are proved.
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Amirov, R.K., Ozkan, A.S. Discontinuous Sturm-Liouville Problems with Eigenvalue Dependent Boundary Condition. Math Phys Anal Geom 17, 483–491 (2014). https://doi.org/10.1007/s11040-014-9166-1
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DOI: https://doi.org/10.1007/s11040-014-9166-1