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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 455–462 (Mi smj2650)  
This article is cited in 1 scientific paper (total in 1 paper)

Recovery of the discontinuities of the coefficient of a Sturm–Liouville operator in impedance form

A. A. Sedipkovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: Under study is the inverse spectral problem for a Sturm–Liouville operator in impedance form. We prove that the discontinuities of the impedance are uniquely determined by the asymptotics of the Jost function at infinity. Some algorithm is constructed that makes it possible to recover the discontinuities of the impedance.
Keywords: inverse spectral problem, impedance, Jost function.
Received: 19.11.2013
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 367–372
DOI: https://doi.org/10.1134/S0037446615020160
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. A. Sedipkov, “Recovery of the discontinuities of the coefficient of a Sturm–Liouville operator in impedance form”, Sibirsk. Mat. Zh., 56:2 (2015), 455–462; Siberian Math. J., 56:2 (2015), 367–372
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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