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A trichotomy result for non-autonomous rational difference equations

Frank Palladino, Michael Radin (2011)

Open Mathematics

We study non-autonomous rational difference equations. Under the assumption of a periodic non-autonomous parameter, we show that a well known trichotomy result in the autonomous case is preserved in a certain sense which is made precise in the body of the text. In addition we discuss some questions regarding whether periodicity preserves or destroys boundedness.

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