Ukrainian Mathematical Journal

, Volume 34, Issue 4, pp 369–374 | Cite as

Comparison method for systems of differential equations with a rapidly rotating phase

  • K. S. Matviichuk


Differential Equation Comparison Method 
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Literature cited

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    N. N. Bogolyubov and D. N. Zubarev, “The method of asymptotic approximation for systems with rotating phase and its application to the motion of charged particles in a magnetic field,” Ukr. Mat. Zh.,7, No. 1, 5–17 (1955).Google Scholar
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    Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).Google Scholar
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    M. R. M. Rao, “A note on an integral inequality,” J. Indian Math. Soc.,24, No. 2, 69–71 (1963).Google Scholar
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    A. A. Martynyuk and K. S. Matviichuk, “On the comparison principle for systems of equations with one rotating phase,” Ukr. Mat. Zh.,31, No. 5, 498–503 (1979).Google Scholar
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    A. N. Filatov, Averaging Methods for Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).Google Scholar
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    N. Rouche, P. Habets, and M. Laloy, Stability Theory by Lyapunov's Direct Method, Applied Mathem. Sciences Ser., Vol. 22, Springer-Verlag, New York, Heidelberg, Berlin (1977).Google Scholar
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    J. Szarski, Differential Inequalities, Hafner (1965).Google Scholar
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    V. M. Volosov, “Averaging in systems of ordinary differential equations,” Usp. Mat. Nauk,17, No. 6, 3–126 (1962).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • K. S. Matviichuk
    • 1
  1. 1.Institute of MechanicsAcademy of Sciences of the Ukrainian SSRUkraine

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