On Bogolyubov's Works in the Field of Nonlinear Mechanics
Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 17-23.

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An account is given to the rise and development of the Bogolyubov–Krylov method for the analysis of nonlinear oscillations.
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Yu. A. Mitropol'skii. On Bogolyubov's Works in the Field of Nonlinear Mechanics. Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 17-23. http://geodesic.mathdoc.fr/item/TRSPY_2000_228_a1/