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On the existence of invariant tori of countable systems of difference-differential equations defined on infinite-dimensional tori |
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| Authors: | A M Samoilenko Yu V Teplins’kyi K V Pasyuk |
| Institution: | 1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine 2. Kam’yanets’-Podil’sk National University, Kam’yanets’-Podil’sk, Ukraine 3. Bukovyna State Financial Academy, Chernivtsi, Ukraine |
| Abstract: | In the space of bounded number sequences, we establish sufficient conditions for the existence of invariant tori for linear and quasilinear countable systems of differential-difference equations defined on infinitedimensional tori and containing an infinite set of constant deviations of a scalar argument. |
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