Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus
Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$, to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$, and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi...
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| Datum: | 1994 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5638 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$,
to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$,
and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi t$ - periodic in $x_i\; (i = 1,2,...)$ and almost periodic in $t$ with the frequency basis $\alpha$. |
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