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Justification of an averaging scheme for systems of standard form on a finite interval

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. V. G. Zadorozhnyi, “An extension of the range of applicability of the averaging method,” in: First Turkmen Republic Conference of Mathematicians on Differential Equations [in Russian] (1972), pp. 61–63.

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

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

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  4. A. N. Filat'ov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974).

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  5. A. N. Filatov, “On partial averaging in systems of ordinary differential equations,” Differents. Uravn.,6, No. 6, 1118–1120 (1970).

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  6. L. V. Sharova, “On a method of partial averaging in differential equations,” Differents. Uravn.,10, No. 6, 1074–1077 (1974).

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Authors and Affiliations

  1. Odessa State University, USSR

    V. A. Plotnikov & A. T. Yarovoi

Authors
  1. V. A. Plotnikov
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  2. A. T. Yarovoi
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 2, pp. 166– 171, March–April, 1979.

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Plotnikov, V.A., Yarovoi, A.T. Justification of an averaging scheme for systems of standard form on a finite interval. Ukr Math J 31, 128–132 (1979). https://doi.org/10.1007/BF01086006

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  • DOI: https://doi.org/10.1007/BF01086006

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