Geodesic
A uniqueness theorem for Sturm--Liouville equations with a spectral parameter rationally contained in the boundary condition
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 158-170

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In this paper we consider regular boundary value problem for the Sturm–Liouville operator with the eigenvalue parameter rationally contained in the bounary condition. It is shown that the potential and the boundary conditions are uniquely reconstructs on the spectral characteristics.
Keywords: inverse boundary value problem; Sturm–Liouville operator; spectral parameter in boundary conditions; expansion in eigen- and adjoint functions. 
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     title = {A uniqueness theorem for {Sturm--Liouville} equations with a spectral parameter rationally contained in the boundary condition},
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A. E. Atkin; G. P. Atkina. A uniqueness theorem for Sturm--Liouville equations with a spectral parameter rationally contained in the boundary condition. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 158-170. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_3_a14/