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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 164–181 (Mi znsl1165)  

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of spectrum and eigenharmonics of the discrete string containing a bead of vanishing mass

V. S. Kolezhuk

Saint-Petersburg State University
Full-text PDF (222 kB) Citations (1)
Abstract: A discrete string with fixed endpoints containing a finite number of pointlike masses (beads) is under consideration. Behaviour of eigenfrequences and eigenharmonics of the string when one of the masses tending to zero is studied.
Received: 20.11.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 5, Pages 3717–3727
DOI: https://doi.org/10.1023/A:1016390010645
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. S. Kolezhuk, “Asymptotics of spectrum and eigenharmonics of the discrete string containing a bead of vanishing mass”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 164–181; J. Math. Sci. (New York), 111:5 (2002), 3717–3727
Citation in format AMSBIB
\Bibitem{Kol00}
\by V.~S.~Kolezhuk
\paper Asymptotics of spectrum and eigenharmonics of the discrete string containing a bead of vanishing mass
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 164--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796430}
\zmath{https://zbmath.org/?q=an:1125.74339}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 5
\pages 3717--3727
\crossref{https://doi.org/10.1023/A:1016390010645}
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  • https://www.mathnet.ru/eng/znsl/v264/p164
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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