2017
Том 69
№ 6

All Issues

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

Marchuk N. A., Teplinsky Yu. V.

Full text (.pdf)


Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 1, pp 93-111.

Citation Example: Marchuk N. A., Teplinsky Yu. V. On the Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori // Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 75-90.

Full text