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

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Literature cited

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    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).

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    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.

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    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).

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    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).

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    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.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 5, pp. 659–665, September–October, 1980.

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Krivosheya, S.A. Scheme of an averaging method for studying resonant modes in distributed systems excited by instantaneous multifrequency pulsed forces. Ukr Math J 32, 437–441 (1980). https://doi.org/10.1007/BF01091570

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Keywords

  • Average Method
  • Resonant Mode
  • Pulse Force