Abstract
We establish sufficient conditions for a nonlinear system of difference equations x(t + 1) =x(t) + ω + P(x(t),t)+ λ to be reducible to the system y(t + 1) =y(t) + ω. Here, P(x, t) is a function 2π-periodic in xi(i = 1, ...,n) and almost periodic int with a frequency basis α.
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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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Samoilenko, A.M., Martynyuk, D.I. & Perestyuk, N.A. Reducibility of nonlinear almost periodic systems of difference equations given on a torus. Ukr Math J 46, 425–432 (1994). https://doi.org/10.1007/BF01060412
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DOI: https://doi.org/10.1007/BF01060412