Abstract
In this note we consider a system of differential equations containing several small parameters with various orders of smallness. We propose a method of obtaining a “diagonally” averaged system, based on successive application of an averaging process along the trajectories of so-called degenerate systems.
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Translated from Matematicheskie Zametki, Vol. 16, No. 1, pp. 75–82, July, 1974.
In conclusion I wish to express my thanks to Yu. N. Bakaev and to V. M. Volosov for their interest in my work.
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Aleshin, B.V. Averaging in systems containing several small parameters. Mathematical Notes of the Academy of Sciences of the USSR 16, 630–634 (1974). https://doi.org/10.1007/BF01098816
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DOI: https://doi.org/10.1007/BF01098816