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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 1, Pages 114–125 (Mi vngu112)  
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
Full-text PDF (225 kB) Citations (2)
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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
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 625–636
DOI: https://doi.org/10.1007/s10958-014-1814-2
Document Type: Article
UDC: 517.984
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Sed12}
\by A.~A.~Sedipkov
\paper Recovery of discontinuities for Sturm--Liouville operator
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 1
\pages 114--125
\mathnet{http://mi.mathnet.ru/vngu112}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 625--636
\crossref{https://doi.org/10.1007/s10958-014-1814-2}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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