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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 383–389
DOI: https://doi.org/10.4213/tmf710 (Mi tmf710) 		 
This article is cited in 9 scientific papers (total in 10 papers)

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

A. M. Il'in

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (170 kB) Citations (10) English version article
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DOI: https://doi.org/10.4213/tmf710
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 $\varepsilon$. We construct an asymptotic approximation that is valid for time values $t\gg\varepsilon$ up to any order in $\varepsilon$.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 301–306
DOI: https://doi.org/10.1007/BF02557325
Bibliographic databases:
Language: Russian
Citation: A. M. Il'in, “On the two-scale method for the problem of perturbed one-frequency oscillations”, TMF, 118:3 (1999), 383–389; Theoret. and Math. Phys., 118:3 (1999), 301–306
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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