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Analysis of the nonstationary oscillations of a system with slowly varying parameters under the influence of random perturbations

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. Yu. A. Mitropol'skii, Problems in the Asymptotic Theory of Nonstationary Oscillations [in Russian], Izd. Nauka, Moscow (1964).

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  3. V. G. Kolomiets, “Random oscillations of quasi-linear systems,” Third Conference on Nonlinear Oscillations, No. 25, Berlin (May, 1964).

  4. R. Stratonovich, Selected Problems in the Theory of Fluctuations in Radio Engineering [in Russian], Izd. “Sovetskoe Radio,” Moscow (1961).

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  5. R. Z. Khas'minskii, “Averaging principle for parabolic and elliptic differential equations and Markov processes with small diffusion,” Teor. Veroyatn. i Ee Primen.,8, No. 1 (1963).

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Authors and Affiliations

  1. Mathematics Institute of the Academy of Sciences of the Ukrainian SSR, Ukraine

    L. M. Porkhun

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  1. L. M. Porkhun
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.20, No.2, pp.272–279, March–April, 1968.

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Porkhun, L.M. Analysis of the nonstationary oscillations of a system with slowly varying parameters under the influence of random perturbations. Ukr Math J 20, 249–253 (1968). https://doi.org/10.1007/BF01085546

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  • DOI: https://doi.org/10.1007/BF01085546

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