This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
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).
Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).
M. R. M. Rao, “A note on an integral inequality,” J. Indian Math. Soc.,24, No. 2, 69–71 (1963).
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).
A. N. Filatov, Averaging Methods for Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).
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).
J. Szarski, Differential Inequalities, Hafner (1965).
V. M. Volosov, “Averaging in systems of ordinary differential equations,” Usp. Mat. Nauk,17, No. 6, 3–126 (1962).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 4, pp. 456–461, July–August, 1982.
About this article
Cite this article
Matviichuk, K.S. Comparison method for systems of differential equations with a rapidly rotating phase. Ukr Math J 34, 369–374 (1982). https://doi.org/10.1007/BF01091591
- Differential Equation
- Comparison Method