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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2012 Volume 14, Number 4, Pages 24–31 (Mi vmj433)

The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms

M. R. Ishmeev

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

Abstract: It was constructed and justified the full asimptotic of conditionally periodic solution for the systems of non-linear differential equations containing items proportional to some degrees of frequency.

Key words: differential equations, high frequency terms, averaging method, asimptotic.

UDC: 517.928

Received: 07.12.2012



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