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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2011 Volume 13, Number 3, Pages 22–35 (Mi vmj391)

This article is cited in 1 paper

The asimptotics of a periodical solution of differential equation with great high-frequency terms

M. R. Ishmeev

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don, Russia

Abstract: The full asimptotics of a periodical solution for the systems of non-linear differential equations, containing terms proportional to a degrees of frequency is constructed.

Key words: differential equations, great high-frequency items, averaging method, asimptotic, substantion.

UDC: 517.928

Received: 26.02.2010



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