2017
Том 69
№ 9

All Issues

Global solutions and invariant tori of difference-differential equations

Belan E. P.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 1, pp 9-24.

Citation Example: Belan E. P. Global solutions and invariant tori of difference-differential equations // Ukr. Mat. Zh. - 1997. - 49, № 1. - pp. 11–24.

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