Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus
Abstract
Sufficient conditions of reducibility of the nonlinear system of difference equations x(t+1)=x(t)+ω+P(x(t),t)+λ, to the system y(t+1)=y(t)+ω are found; here, x,ω,λ∈m, and the infinite-dimensional vector function P(x(t),t) is 2πt - periodic in xi(i=1,2,...) and almost periodic in t with the frequency basis α.
Published
25.09.1994
How to Cite
Martynyuk, D. I., N. A. Perestyuk, and A. M. Samoilenko. “Reducibility of Nonlinear Almost Periodic Systems of Difference Equations on an Infinite-Dimensional Torus”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 9, Sept. 1994, pp. 1216–1223, https://umj.imath.kiev.ua/index.php/umj/article/view/5638.
Issue
Section
Research articles