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On asymptotic integration of the equations of motion of mechanical systems subjected to rapidly oscillating forces. (English. Russian original) Zbl 0722.70002

J. Appl. Math. Mech. 53, No. 3, 401-403 (1989); translation from Prikl. Mat. Mekh. 53, No. 3, 518-519 (1989).
Summary: An algorithm for the direct expansion of solutions of the Cauchy problem in a small parameter in a finite time interval is proposed in the development of the idea in the author’s paper [ibid. 48, 1042-1045 (1984; Zbl 0591.34040)] for systems of differential equations describing the motion of mechanical systems subjected to rapidly oscillating forces.

MSC:

70F99 Dynamics of a system of particles, including celestial mechanics
34C29 Averaging method for ordinary differential equations
42A05 Trigonometric polynomials, inequalities, extremal problems

Citations:

Zbl 0591.34040
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Full Text: DOI

References:

[1] Strygin, V. V., On a modification of the averaging method for seeking high approximations, PMM, 48, 6 (1984) · Zbl 0591.34040
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