On the existence of infinite-dimensional invariant tori of nonlinear countable systems of difference-differential equations |
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| Authors: | A.?M.?Samoilenko mailto:sam@imath.kiev.ua" title=" sam@imath.kiev.ua" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Yu.?V.?Teplins’kyi,K.?V.?Pasyuk |
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| Affiliation: | 1.Institute of Mathematics, Ukrainian National Academy of Sciences,Kyiv,Ukraine;2.Kam’yanets’-Podil’s’kyi National University,Kam’yanets’-Podil’s’kyi,Ukraine;3.Bukovyna State Financial Academy,Chernivtsi,Ukraine |
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| Abstract: | ![]()
In the space of bounded number sequences, we establish sufficient conditions for the existence of invariant tori for nonlinear countable systems of difference-differential equations defined on infinite-dimensional tori and containing an infinite set of constant deviations of a scalar argument. |
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