Global solutions and invariant tori of difference-differential equations

  • E. P. Belan

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.
Published
25.01.1997
How to Cite
BelanE. P. “Global Solutions and Invariant Tori of Difference-Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 1, Jan. 1997, pp. 11–24, https://umj.imath.kiev.ua/index.php/umj/article/view/4983.
Section
Research articles