Abstract
We prove the existence of an m-parameter family of global solutions of a system of difference-differential equations. For difference-differential equations on a torus, we introduce the notion of rotation number. We also consider the problem of perturbation of an invariant torus of a system of difference-differential equations and study the problem of the existence of periodic and quasiperiodic solutions of second-order difference-differential equations.
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Additional information
Simferopol University, Simferopol. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 1, pp. 11–24, January, 1997.
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Belan, E.P. Global solutions and invariant tori of difference-differential equations. Ukr Math J 49, 9–24 (1997). https://doi.org/10.1007/BF02486613
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DOI: https://doi.org/10.1007/BF02486613