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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).
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.
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).
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).
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.
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
- Average Method
- Resonant Mode
- Pulse Force