On explicit estimates of the approximation accuracy in first Bogolyubov's theorem
Krasil'nikov P.S.1
| Annotation | The problem of explicit estimates for the approximation accuracy in the averaging method of Bogolyubov standard systems is investigated. It is shown that estimates depends on some parameter $ \Lambda^* $, which affects the convergence of the time average. We formulate a statement on the explicit estimates for the approximation accuracy (Volosov's hypothesis). Hypothesis is proved under some additional restrictions on the right-hand side of differential equations. |
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| Keywords | time average, the accuracy of the approximation, the averaging method |
1Head of Differential Equations Department, Moscow Aviation Institute (National Research University), Moscow; krasil06@rambler.ru.
Citation: Krasil'nikov P.S., "[On explicit estimates of the approximation accuracy in first Bogolyubov's theorem]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:3 (2015) 18–29 (In Russian)
