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Averaging method for multifrequency systems with lag

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Literature cited

  1. 1.

    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

  2. 2.

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

  3. 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).

  4. 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).

  5. 5.

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

  6. 6.

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

  7. 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).

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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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Keywords

  • Multifrequency System