On the erugin and floquet-lyapunov theorems for countable systems of difference equations

For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients.

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Datum:1996
Hauptverfasser: Teplins’kyi, O. Yu., Teplinsky, Yu. V., Теплинский, О. Ю., Теплинский, Ю. В.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5354
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients.