On the Fréchet Differentiability of Invariant Tori of Countable Systems of Difference Equations Defined on Infinite-Dimensional Tori |
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| Authors: | Teplins'kyi Yu V Marchuk N A |
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| Institution: | (1) Kam'yanets'-Podil's'k Pedagogic University, Kam'yanets'-Podil's'k, Russia |
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| 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. |
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