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Random oscillations in some viscoelastic nonlinear systems

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Literature cited

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

    Google Scholar 

  2. Yu. A. Mitropol'skii and V. G. Kolomiets, “Application of asymptotic methods to stochastic systems,” in: Approximate Methods for the Investigation of Nonlinear Systems [in Russian], Math. Inst., Akad. Nauk Ukr. SSR, Kiev (1976), pp. 102–147.

    Google Scholar 

  3. Nguen Dong An, “Concerning the problem of solving the Fokker-Planck-Kolmogorov equation for nonautonomous systems subjected to periodic and random actions,” Ukr. Mat. Zh.,34, No. 4, 525–528 (1982).

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  4. Nguen Dong An, “Random oscillations of a mechanical system with one degree of freedom under the action of a periodic force and a ‘white noise,’” Ukr. Math. Zh.,34, No. 5, 633–636 (1982).

    Google Scholar 

  5. E. P. Popov, Applied Theory of Control Processes in Nonlinear Systems [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  6. A. A. Il'yushin and B. E. Pobedrya, Foundations of the Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. A. N. Filatov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974).

    Google Scholar 

  8. S. A. Shebeko, M. A. Koltunov, and B. I. Morgunov, “Vibrations of a viscoelastic cylinder with elastic envelope under the action of random forces,” Mekh. Polim., No. 5, 88–92 (1977).

    Google Scholar 

  9. M. F. Dimentberg, Nonlinear-Stochastic Problems of Mechanical Oscillations [in Russian], Nauka, Moscow (1980).

    Google Scholar 

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Authors and Affiliations

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

    Yu. A. Mitropol'skii & Nguen Dong An

Authors
  1. Yu. A. Mitropol'skii
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  2. Nguen Dong An
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 4, pp. 468–472, July–August, 1985.

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Mitropol'skii, Y.A., An, N.D. Random oscillations in some viscoelastic nonlinear systems. Ukr Math J 37, 373–377 (1985). https://doi.org/10.1007/BF01055951

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  • DOI: https://doi.org/10.1007/BF01055951

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