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Matematicheskie Zametki, 1968, Volume 3, Issue 3, Pages 307–318 (Mi mzm6683)  
This article is cited in 6 scientific papers (total in 6 papers)

Investigation of stability in the theory of nonlinear oscillations

M. M. Khapaev

M. V. Lomonosov Moscow State University
Full-text PDF (907 kB) Citations (6)
Abstract: uestions of the stability of the equilibrium position for nonlinear oscillating systems relative to perturbations acting constantly on the system are considered. Theorems are proved governing the stability and instability conditions of the equilibrium point of a nonlinear system of general form. The stability is investigated by using Lyapunov function apparatus.
Received: 06.05.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 3, Pages 194–200
DOI: https://doi.org/10.1007/BF01387334
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. M. Khapaev, “Investigation of stability in the theory of nonlinear oscillations”, Mat. Zametki, 3:3 (1968), 307–318; Math. Notes, 3:3 (1968), 194–200
Citation in format AMSBIB
\Bibitem{Kha68}
\by M.~M.~Khapaev
\paper Investigation of stability in the theory of nonlinear oscillations
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 3
\pages 307--318
\mathnet{http://mi.mathnet.ru/mzm6683}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=239206}
\zmath{https://zbmath.org/?q=an:0164.10402|0159.12104}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 3
\pages 194--200
\crossref{https://doi.org/10.1007/BF01387334}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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