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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 20–42 (Mi znsl361)  
This article is cited in 11 scientific papers (total in 11 papers)

Determination of the parameters of the system of connected beams from dynamical boundary measurements

M. I. Belisheva, S. A. Ivanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (281 kB) Citations (11)
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Abstract: We consider the dynamical inverse problem for a special kind of a two velocity system. The system describes the vibrations of a composite beam formed by two connected beams and we recover the shearing stiffness coefficient. The vibrations of the beam are generated by the control applied to the end of the beam. The inverse data are the response operator and the dynamical measurement at the other end of the beam.
Received: 05.02.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5491–5502
DOI: https://doi.org/10.1007/s10958-006-0317-1
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. I. Belishev, S. A. Ivanov, “Determination of the parameters of the system of connected beams from dynamical boundary measurements”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 20–42; J. Math. Sci. (N. Y.), 138:2 (2006), 5491–5502
Citation in format AMSBIB
\Bibitem{BelIva05}
\by M.~I.~Belishev, S.~A.~Ivanov
\paper Determination of the parameters of the system of connected beams from dynamical boundary measurements
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 20--42
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159346}
\zmath{https://zbmath.org/?q=an:1095.35051}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5491--5502
\crossref{https://doi.org/10.1007/s10958-006-0317-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748531004}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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