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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 6(80), Pages 87–92 (Mi vsgu197)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The theorem of averaging and indeterminate conditional periodic motions

O. P. Filatov

Dept. of Mathematics and Mechanics, Samara State University, Samara, 443011, Russian Federation
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Abstract: It is proved that the limit of the maximal mean is equal to the sum of the space average of the function and the addition. The addition is the function of the maximal norm of the speed over the minimal norm of the speed. If the maximal norm is equal to the minimal norm we have the classic theorem of averaging.
Keywords: theorem of averaging, torus, rational independent numbers, differential inclusion, averaging, limit of maximal mean.
Received: 18.06.2010
Revised: 18.06.2010
Document Type: Article
UDC: 517.928.1
Language: Russian
Citation: O. P. Filatov, “The theorem of averaging and indeterminate conditional periodic motions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80), 87–92
Citation in format AMSBIB
\Bibitem{Fil10}
\by O.~P.~Filatov
\paper The theorem of averaging and indeterminate conditional periodic motions
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 6(80)
\pages 87--92
\mathnet{http://mi.mathnet.ru/vsgu197}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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