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

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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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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko

  2. Kiev University, Kiev

    D. I. Martynyuk & N. A. Perestyuk

Authors
  1. A. M. Samoilenko
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  2. D. I. Martynyuk
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  3. N. A. Perestyuk
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Additional information

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

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