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Averaging method for multifrequency systems with lag

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Literature cited

  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. Yu. A. Mitropol'skii, Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  3. V. I. Arnol'd, “Applicability conditions and estimation of the error of the averaging method for systems which pass through resonances in the process of evolution,” Dokl. Akad. Nauk SSSR,161, No. 1, 9–12 (1965).

    Google Scholar 

  4. D. V. Anosov, “Averaging in systems of ordinary differential equations with rapidly oscillating solutions,” Izv. Akad. Nauk SSSR, Ser. Mat.,24, No. 5, 721–742 (1960).

    Google Scholar 

  5. A. I. Neishtadt, “Averaging in multifrequency systems,” Dokl. Akad. Nauk SSSR,226, No. 6, 1295–1298 (1976).

    Google Scholar 

  6. E. A. Grebenikov and Yu. A. Ryadov, New Qualitative Methods in Celestial Mechanics [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  7. Ya. I. Bigun and V. I. Fodchuk, “Application of the averaging method for investigating a class of multifrequency systems with lag,” Ukr. Mat. Zh.,32, No. 2, 149–154 (1980).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 4, pp. 535–539, July–August, 1985.

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Shpakovich, V.P. Averaging method for multifrequency systems with lag. Ukr Math J 37, 431–435 (1985). https://doi.org/10.1007/BF01055966

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