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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 12–16 (Mi znsl5969)  
This article is cited in 2 scientific papers (total in 3 papers)

Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators

V. M. Babich

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (234 kB) Citations (3)
Abstract: In the paper on some examples we illustrate the following thesis. In all cases it is possible to reduce the problem of of finding proper oscillations of a holonomic nondisspative mechanical system to the problem of obtaining eigenvalues and eigen elements of the corresponding selfadjoint operator in the Hilbert space. The scalar product in the space is determined by the quadratic form of the kinetic energy. Bibliography: 1 title.
Received: 07.07.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2664–2666
DOI: https://doi.org/10.1007/BF02355156
Bibliographic databases:
Document Type: Article
UDC: 517.948.35+534.1
Language: Russian
Citation: V. M. Babich, “Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 12–16; J. Math. Sci. (New York), 86:3 (1997), 2664–2666
Citation in format AMSBIB
\Bibitem{Bab94}
\by V.~M.~Babich
\paper Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 12--16
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5969}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492166}
\zmath{https://zbmath.org/?q=an:0930.47043}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2664--2666
\crossref{https://doi.org/10.1007/BF02355156}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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