Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
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Authors: | A M Samoilenko D I Martynyuk N A Perestyuk |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev;(2) Kiev University, Kiev |
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Abstract: | We establish sufficient conditions for the reducibility of a nonlinear system of difference equationsx(t+1)=x(t)++P(x(t),t+ to a system y(t+1)= y(t)+, wherex, , m and the infinite-dimensional vector function P(x(t),t) is 2p-periodic inx
i i=1,2,...) and almost periodic int with a frequency basis.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1216–1223, September, 1994. |
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