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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Translated from Neliniini Kolyvannya, Vol. 12, No. 3, pp. 347–367, July–September, 2009.
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Samoilenko, A.M., Teplins’kyi, Y.V. & Pasyuk, K.V. On the existence of invariant tori of countable systems of difference-differential equations defined on infinite-dimensional tori. Nonlinear Oscill 12, 358–379 (2009). https://doi.org/10.1007/s11072-010-0082-4
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DOI: https://doi.org/10.1007/s11072-010-0082-4