Ukrainian Mathematical Journal

, Volume 39, Issue 5, pp 543–545 | Cite as

Method of averaging for differential equations with maxima

  • V. P. Shpakovich
  • V. I. Muntyan
Brief Communications


Differential Equation 
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Literature cited

  1. 1.
    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).Google Scholar
  2. 2.
    Yu. A. Mitropolskii, The Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).Google Scholar
  3. 3.
    E. P. Popov, Automatic Regulation and Control [in Russian], Fizmatgiz, Moscow (1962).Google Scholar
  4. 4.
    Yu. A. Ryabov and A. R. Magomedov, Differential Equations with Maxima [in Russian], Baku (1983) (Preprint, Akad. Nauk AzerbSSR, Inst. Fiz., No. 75).Google Scholar
  5. 5.
    I. I. Gikhman, “On a theorem of N. N. Bogolyubov,” Ukr. Mat. Zh.,4, No. 2, 215–219 (1952).Google Scholar
  6. 6.
    M. A. Krasnosel'skii and S. G. Krein, “On the principle of averaging in nonlinear mechanics,” Usp. Mat. Nauk,10, No. 3, 147–152 (1955).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. P. Shpakovich
    • 1
  • V. I. Muntyan
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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