Reducibility of nonlinear almost periodic systems of difference equations given on a 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 a nonlinear system of difference equations x(t + 1) =x(t) + + P(x(t),t)+ to be reducible to the system y(t + 1) =y(t) + . Here, P(x, t) is a function 2 -periodic in xi(i = 1, ...,n) and almost periodic int with a frequency basis .Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 404–412, April, 1994.This work was supported by Ukrainian State Committee on Science and Technology. |
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