Ukrainian Mathematical Journal

, Volume 23, Issue 6, pp 635–637 | Cite as

On the construction of approximate solutions for a second-order autonomous differential-difference equation describing oscillatory processes with a considerable resistance force

  • Le Suan Kang
Brief Communications


Approximate Solution Resistance Force Oscillatory Process Considerable Resistance 
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Literature cited

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    E. P. Popov, “One generalization of N. N. Bogolyubov's asymptotic method in the theory of nonlinear oscillations,” Dokl. Akad. Nauk SSSR,111, No. 2 (1956).Google Scholar
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    E. P. Popov and I. P. Pal'tov, Approximate Methods for Investigating Linear Automatic Systems [in Russian], Fizmatgiz, Moscow (1960).Google Scholar
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    G. Boyadzhiev, Godishnik Vyssh. Tekhn. Uchebn. Zaved., Matematika,3, Book 2 (1970).Google Scholar
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    N. M. Krylov and N. N. Bogolyubov, “Application of the methods of nonlinear mechanics to the theory of stationary oscillations,” Izd. Akad. Nauk UkrSSR (1934).Google Scholar
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    Yu. A. Mitropol'skii, Problems in the Asymptotic Theory of Nonstationary Oscillations [in Russian], Nauka, Moscow (1964).Google Scholar
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    V. P. Rubanik, “Application of N. M. Krylov and N. N. Bogolyubov's asymptotic methods to quasilinear differential-difference equations,” Ukr. Mat. Zh.,11, No. 4 (1959).Google Scholar
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    Yu. A. Mitropol'skii, Lectures of the Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1966).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • Le Suan Kang
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUSSR

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