Ukrainian Mathematical Journal

, Volume 32, Issue 5, pp 437–441 | Cite as

Scheme of an averaging method for studying resonant modes in distributed systems excited by instantaneous multifrequency pulsed forces

  • S. A. Krivosheya
Brief Communications


Average Method Resonant Mode Pulse Force 
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Literature cited

  1. 1.
    A. M. Samoilenko, “Application of the averaging method for studying oscillations excited by instantaneous pulses in autooscillatory systems of second order with a small parameter,” Ukr. Mat. Zh.,13, No. 3, 103–109 (1961).Google Scholar
  2. 2.
    A. M. Samoilenko, “Justification of the averaging principle for differential equations with a discontinuous right-hand part,” in: Approximate Methods for Solving Differential Equations [in Russian], Izd. Akad. Nauk Ukr. SSR, Kiev (1968), pp. 90–95.Google Scholar
  3. 3.
    N. A. Perestyuk, “Some problems in the study of nonlinear systems of differential equations with an instantaneous change,” Author's Abstract of Doctoral Dissertation, Kiev (1971).Google Scholar
  4. 4.
    Yu. A. Mitropol'skii and B. I. Moseenkov, Lectures on the Use of Asymptotic Methods in the Solution of Partial Differential Equations [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1968).Google Scholar
  5. 5.
    V. P. Rubanik, “The use of asymptotic methods in studying multifrequency oscillations in nonlinear systems,” in: Problems in the Asymptotic Theory of Nonlinear Oscillations [in Russian], Naukova Dumka, Kiev (1977), pp. 173–181.Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • S. A. Krivosheya
    • 1
  1. 1.Military Aviation Engineering CollegeKiev

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