Geodesic
Recovery of discontinuities for Sturm–Liouville operator
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 114-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the inverse spectral problem for Sturm–Liouville operator with piecewise continuous coefficients. We prove that asymptotic of the Jost function determines all discontinuities of the coefficients for Sturm–Liouville operator uniquely. We give an algorithm for finding discontinuities.
Keywords: inverse spectral problem, acoustic impedance
Mots-clés : Jost solution. 
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A. A. Sedipkov. Recovery of discontinuities for Sturm–Liouville operator. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 114-125. http://geodesic.mathdoc.fr/item/VNGU_2012_12_1_a7/

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