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On integral manifolds of oscillating systems with slowly varying frequencies

By using averages of functions, we construct the integral manifold of an oscillating system that passes through resonances in the course of its evolution. We investigate the smoothness of the integral manifold and obtain estimates for its partial derivatives.

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Bibliographic Details
Date:	1998
Main Authors:	Lakusta, L. M., Petryshyn, R. I., Лакуста, Л. М., Петришин, Р. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4974
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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