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On the Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori

By using the method of Green–Samoilenko functions, in the space of bounded number sequences we construct invariant tori of linear and nonlinear systems of discrete equations defined on infinite-dimensional tori. We establish sufficient conditions for the Fréchet differentiability of invariant tori....

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Bibliographic Details
Date:	2003
Main Authors:	Marchuk, N. A., Teplinsky, Yu. V., Марчук, H. А., Теплінський, Ю. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3889
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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