2017
Том 69
№ 7

All Issues

Reducibility of nonlinear almost periodic systems of difference equations given on a torus

Martynyuk D. I., Perestyuk N. A., Samoilenko A. M.

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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 ?.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 425-432.

Citation Example: Martynyuk D. I., Perestyuk N. A., Samoilenko A. M. Reducibility of nonlinear almost periodic systems of difference equations given on a torus // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 404–412.

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