Strygin, V. V. 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. Cited in 1 Document MSC: 70F99 Dynamics of a system of particles, including celestial mechanics 34C29 Averaging method for ordinary differential equations 42A05 Trigonometric polynomials, inequalities, extremal problems Keywords:direct expansion of solutions; Cauchy problem; finite time interval; rapidly oscillating forces Citations:Zbl 0591.34040 PDFBibTeX XMLCite \textit{V. V. Strygin}, J. Appl. Math. Mech. 53, No. 3, 401--403 (1989; Zbl 0722.70002); translation from Prikl. Mat. Mekh. 53, No. 3, 518--519 (1989) 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.