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On the two-scale method for the problem of perturbed one-frequency oscillations

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Abstract

We consider the asymptotic behavior with respect to time of the solution to the initial problem for an ordinary differential equation with a small parameter ∈. We construct an asymptotic approximation that is valid for time valuest≫∈ up to any order in ∈.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Urals Branch, Russian Academy of Sciences, Ekaterinburg, Russia

    A. M. Il’in

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  1. A. M. Il’in
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Translated from Teoreticheskaya i Matematicheskay Fizika, Vol. 118, No. 3, pp. 383–389, March, 1999.

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Il’in, A.M. On the two-scale method for the problem of perturbed one-frequency oscillations. Theor Math Phys 118, 301–306 (1999). https://doi.org/10.1007/BF02557325

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