Ukrainian Mathematical Journal

, Volume 31, Issue 2, pp 128–132 | Cite as

Justification of an averaging scheme for systems of standard form on a finite interval

  • V. A. Plotnikov
  • A. T. Yarovoi


Standard Form Finite Interval Average Scheme 
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Literature cited

  1. 1.
    V. G. Zadorozhnyi, “An extension of the range of applicability of the averaging method,” in: First Turkmen Republic Conference of Mathematicians on Differential Equations [in Russian] (1972), pp. 61–63.Google Scholar
  2. 2.
    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).Google Scholar
  3. 3.
    Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).Google Scholar
  4. 4.
    A. N. Filat'ov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974).Google Scholar
  5. 5.
    A. N. Filatov, “On partial averaging in systems of ordinary differential equations,” Differents. Uravn.,6, No. 6, 1118–1120 (1970).Google Scholar
  6. 6.
    L. V. Sharova, “On a method of partial averaging in differential equations,” Differents. Uravn.,10, No. 6, 1074–1077 (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • V. A. Plotnikov
    • 1
  • A. T. Yarovoi
    • 1
  1. 1.Odessa State UniversityUSSR

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