Geodesic
On the two-scale method for the problem of perturbed one-frequency oscillations
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 383-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\varepsilon$. We construct an asymptotic approximation that is valid for time values $t\gg\varepsilon$ up to any order in $\varepsilon$. 
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     author = {A. M. Il'in},
     title = {On the two-scale method for the problem of perturbed one-frequency oscillations},
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     pages = {383--389},
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}
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A. M. Il'in. On the two-scale method for the problem of perturbed one-frequency oscillations. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 383-389. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a7/

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