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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 1, Pages 114–125
(Mi vngu112)
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This article is cited in 2 scientific papers (total in 2 papers)
Recovery of discontinuities for Sturm–Liouville operator
A. A. Sedipkov Novosibirsk State University, Novosibirsk, Russia
Abstract:
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, Jost solution.
Received: 16.12.2009
Citation:
A. A. Sedipkov, “Recovery of discontinuities for Sturm–Liouville operator”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:1 (2012), 114–125; J. Math. Sci., 198:5 (2014), 625–636
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https://www.mathnet.ru/eng/vngu112 https://www.mathnet.ru/eng/vngu/v12/i1/p114
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Abstract page: | 293 | Full-text PDF : | 91 | References: | 57 | First page: | 6 |
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