Skip to main content
Log in

On the Occasion of the 100th Anniversary of the Birth of Academician Yu. A. Mitropolsky (1917–2017)

  • Published:
International Applied Mechanics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Yu. A. Mitropolsky, “Studying the vibrations in nonlinear systems with many degrees of freedom and slowly varying parameters,” Ukr. Mat. Zh., 1, No. 2, 85–98 (1949).

    Google Scholar 

  2. Yu. A. Mitropolsky, “Studying the free oscillations of a nonlinear system that has slowly varying parameters and is close to exactly integrable one,” Inst. Stroit. Mekh. AN USSR, No. 11, 99–106 (1949).

  3. Yu. A. Mitropolsky, “Using symbolic methods to analyze nonlinear systems with slowly varying parameters,” Inst. Stroit. Mekh. AN USSR, No. 13, 99–111 (1950).

  4. Yu. A. Mitropolsky, “Free oscillations of a nonlinear system with slowly varying parameters,” Inst. Stroit. Mekh. AN USSR, No. 11, 107–114 (1949).

  5. Yu. A. Mitropolsky, Slow Processes in Nonlinear Oscillatory Systems with Many Degrees of Freedom [in Russian], Abstract of DSci Thesis, Inst. Stroit. Mekh. AN USSR, Kyiv (1950).

  6. Yu. A. Mitropolsky, “Studying the oscillations of a nonlinear system with slowly varying parameters,” Inst. Stroit. Mekh. AN USSR, No. 14, 134–144 (1950).

  7. Yu. A. Mitropolsky, “Slow processes in nonlinear oscillatory systems with many degrees of freedom,” Prikl. Mat. Mekh., 14, No. 2, 139–170 (1950).

    Google Scholar 

  8. Yu. A. Mitropolsky, “Stationary oscillations in nonlinear systems with many degrees of freedom,” Inst. Stroit. Mekh. AN USSR, No. 12, 228–233 (1950).

  9. Yu. A. Mitropolsky, “Passing a resonance in a nonlinear oscillatory system with many degrees of freedom,” Inst. Stroit. Mekh. AN USSR, No. 17, 47–56 (1952).

  10. Yu. A. Mitropolsky, Nonstationary Processes in Nonlinear Oscillatory Systems [in Russian], Izd. AN USSR, Kyiv (1955); Review by O. S. Parasyuk, Ukr. Mat. Zh., 8, No. 1, 112–111 (1956); D. Mangeron, “Analele stintifice ale umiversitatii “Al. I Cuza” dim lasi., 2, No. 1–2, 401–402 (1956); R. Conti Boll. della Umione matematica Italiana, 11, No. 3, 474–475 (1956).

  11. Yu. A. Mitropolsky, Nonstationary Processes in Nonlinear Oscillatory Systems [in Chinese], Beijing (1958).

  12. Yu. A. Mitropolskii, Nonstationary Processes in Non-linear Oscillatory Systems, Air Technical Intelligence Translation ATIC-270579 F-9085/V (1961).

  13. Yu. A. Mitropolsky, Nonstationary Processes in Nonlinear Oscillatory Systems [in Japanese], Tokyo (1962).

  14. Yu. A. Mitropolsky, Problems of the Asymptotic Theory of Nonstationary Oscillations [in Russian], Nauka, Moscow (1964); Review by O. S. Parasyuk and G. S. Pisarenko, Ukr. Mat. Zh., 16, No. 4, 570–571 (1964); Review by O. S. Parasyuk and N. P. Erugin, Diff. Uravn., 1, No. 1, 137–140 (1965); D. Mangeron, “Buletimul Institutul Politechnic din last.” 9, No. 3–4, 471–472 (1963).

  15. Yu. A. Mitropolskii, Problems of the Asymptotic Theory of Nonstationary Vibrations, Davey, New York (1965).

    Google Scholar 

  16. Yu. A. Mitropolsky, Lectures on the Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kyiv (1966).

    Google Scholar 

  17. Yu. A. Mitropolskii, Problemes de la Theorie Asymptotique des oscillations non-stationnaires, Gauthier–Villars, Paris (1966); G. Petiau, Zentralblatt fur Math. und ihre Grenzgebiete, 133, No. 2 (1967); Karl-Johan Astrom, Elementa Sept. (1968).

  18. Yu. A. Mitropolsky, Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kyiv (1971).

    Google Scholar 

  19. Yu. A. Mitropolsky, Nonlinear Mechanics. Single-Frequency Vibrations [in Russian], Inst. Mat. NAN Ukrainy, Kyiv (1997).

  20. Yu. A. Mitropolsky, “Forced oscillations in nonlinear systems passing a resonance,” Inzh. Sb. Inst. Mekh. AN SSSR, 15, 89–98 (1953).

    MathSciNet  Google Scholar 

  21. Yu. A. Mitropolsky, “Oscillations in gyroscopic systems passing a resonance,” Ukr. Mat. Zh., 5, No. 3, 333–349 (1953).

    MathSciNet  Google Scholar 

  22. Yu. A. Mitropolsky, “The effect of a sinusoidal force with modulated frequency on a nonlinear oscillator,” Ukr. Mat. Zh., 6, No. 4, 442–447 (1954).

    Google Scholar 

  23. Yu. A. Mitropolsky, “Krylov–Bogolyubov asymptotic methods and their further development,” in: Proc. 4th Congr. Roumanian Mathematicians in Bucharest, May 27–June 4 (1956); Revue de Mathematique pures et appliqués, 1, No. 3, 15–26 (1956).

  24. Yu. A. Mitropolsky, “Analyzing an integral manifold for a system of nonlinear equations with variable coefficients,” Ukr. Mat. Zh., 10, No. 3, 270–279 (1958).

    Article  Google Scholar 

  25. Yu. A. Mitropolsky, “Periodic solutions of a system of nonlinear differential equations with nondifferentiable right-hand sides,” Dokl. AN SSSR, 128, No. 6, 1118–1121 (1959).

    Google Scholar 

  26. Yu. A. Mitropolsky, Integral Manifold Method in the Theory of Nonlinear Differential Equations [in Russian], Inst. Mat. AN USSR, Kyiv (1962).

    Google Scholar 

  27. Yu. A. Mitropolsky, „Accelerated convergence method in nonlinear mechanics problems,” in: Proc. 3rd Sci. Conf. Young Mathematicians of Ukraine [in Ukrainian], Naukova Dumka, Kyiv (1967), pp. 6–34.

  28. Yu. A. Mitropolsky, Nonlinear Mechanics. Asymptotic Methods [in Russian], Inst. Mat. NAN Ukrainy, Kyiv (1995).

  29. Yu. A. Mitropolsky, Methods of Nonlinear Mechanics [in Ukrainian], Naukova Dumka, Kyiv (2005).

    Google Scholar 

  30. Yu. A. Mitropolskii, Nonstationary Processes in Non-linear Oscillatory Systems, Air Technical Intelligence Translation ATIC-270579 F-9085/V (1961).

  31. Yu. A. Mitropolskii, Problems of the Asymptotic Theory of Nonstationary Vibrations, Davey, New York (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A.A. Martynyuk.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 53, No. 1, pp. 3–8, January–February, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Martynyuk, A. On the Occasion of the 100th Anniversary of the Birth of Academician Yu. A. Mitropolsky (1917–2017). Int Appl Mech 53, 1–5 (2017). https://doi.org/10.1007/s10778-017-0788-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-017-0788-4

Navigation