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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 motion of charged particles in a magnetic field,” Ukr. Mat. Zh.,7, No. 1, 5–17 (1955).
V. M. Volosov and B. I. Morgunov, The Averaging Method in the Theory of Nonlinear Oscillating Systems [in Russian], Moscow State Univ. (1971).
E. A. Grebennikov and Yu. A. Ryabov, New Qualitative Methods in Celestial Mechanics [in Russian], Nauka, Moscow (1971).
Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).
V. M. Volosov, “Averaging in systems of ordinary differential equations,” Usp. Mat. Nauk,17, No. 6, 3–126 (1962).
A. A. Martynyuk, Stability of Motion of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).
V. M. Matrosov, “Theory of stability of motion,” Prikl. Mat. Mekh.,26, No. 6, 992–1002 (1962).
A. N. Filatov, Averaging Methods in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).
A. A. Martynyuk and R. Gutovskii, Integral Inequalities and Stability of Motion [in Russian], Naukova Dumka, Kiev (1979).
N. V. Azbelev and Z. B. Tsalyuk, “On integral inequalities. I,” Mat. Sb.,56, No. 3, 325–342 (1962).
M. R. Rao, “Upper and lower bounds of the norm of solutions of nonlinear Volterra integral equations,” Proc. Nat. Acad. Sci. India,33, No. 2, 263–266 (1963).
E. A. Barbashin, Lyapunov Functions [in Russian], Nauka, Moscow (1970).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 498–503, September–October, 1979.
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Martynyuk, A.A., Matviichuk, K.S. Comparison principle for systems of differential equations with rapidly rotating phase. Ukr Math J 31, 394–398 (1979). https://doi.org/10.1007/BF01126861
- Differential Equation
- Comparison Principle