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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 186, Pages 37–49 (Mi znsl4846)  

This article is cited in 5 scientific papers (total in 5 papers)

The methods of the boundary control theory in inverse problem for unhomogeneous string

M. I. Belishev, T. L. Sheronova
Full-text PDF (491 kB) Citations (5)
Abstract: An approach connected with boundary control theory is developed. The authors propose the new procedure to recover the density of a unhomogeneous string. The inverse data is a vibration of the free end of the string, initiated by the instantaneous force impulse. The results of numerical experiments are discussed.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 3, Pages 320–329
DOI: https://doi.org/10.1007/BF02362816
Bibliographic databases:
Document Type: Article
UDC: 530.145.6
Language: Russian
Citation: M. I. Belishev, T. L. Sheronova, “The methods of the boundary control theory in inverse problem for unhomogeneous string”, Mathematical problems in the theory of wave propagation. Part 20, Zap. Nauchn. Sem. LOMI, 186, Nauka, St. Petersburg, 1990, 37–49; J. Math. Sci., 73:3 (1995), 320–329
Citation in format AMSBIB
\Bibitem{BelShe90}
\by M.~I.~Belishev, T.~L.~Sheronova
\paper The methods of the boundary control theory in inverse problem for unhomogeneous string
\inbook Mathematical problems in the theory of wave propagation. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 186
\pages 37--49
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4846}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098003}
\zmath{https://zbmath.org/?q=an:0835.73044|0737.73062}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 3
\pages 320--329
\crossref{https://doi.org/10.1007/BF02362816}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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