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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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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DOI: https://doi.org/10.1007/BF02557325