Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2010-1pp.76-83

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S.P. Sosnitskii, "The stability of some classes of systems in standard Bogolyubov form," J. Appl. Math. Mech. 74 (1), 76-83 (2010)
Year 2010 Volume 74 Issue 1 Pages 76-83
Title The stability of some classes of systems in standard Bogolyubov form
Author(s) S.P. Sosnitskii (Kiev, Ukraine, sosn@Imath.Kiev.Ua)
Abstract The stability of the equilibrium of quasilinear systems in standard Bogolyubov form is investigated. Classes of systems are distinguished out for which it is possible to determine the threshold value ε0 of the small parameter ε which ensures qualitative agreement between the solutions of the initial systems of equations and the solutions of the averaged system corresponding it in an infinite time interval when ε<ε0.
Received 21 April 2009
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