Functional Analysis and Its Applications

, Volume 28, Issue 2, pp 128–129

The Poincaré—Lyapunov—Liouville—Arnol'd theorem

  • N. N. Nekhoroshev
Brief Communications


  1. 1.
    V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1989).Google Scholar
  2. 2.
    N. N. Nekhoroshev, Tr. Mosk. Mat. Obshch.,26, 181–198 (1972).Google Scholar
  3. 3.
    V. I. Arnol'd and Yu. S. Il'yashenko, Ordinary Differential Equations, Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 1, Itogi Nauki i Tekhniki, VINITI, Moscow (1985).Google Scholar
  4. 4.
    N. N. Nekhoroshev, Usp. Mat. Nauk,40, No. 5, 217 (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

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  • N. N. Nekhoroshev

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