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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
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Keywords

Approximate Solution Resistance Force Oscillatory Process Considerable Resistance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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