Geodesic
On inverse problem for Sturm--Liouville operator with discontinuous coefficients
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 3-9

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In the paper uniqueness of reconstruction of the Sturm–Liouville operator with discontinuous coefficients by spectral data is proved and algorithm of construction of the potential is provided. 
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E. N. Akhmedova; I. M. Huseynov. On inverse problem for Sturm--Liouville operator with discontinuous coefficients. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/ISU_2010_10_1_a0/