A trichotomy result for non-autonomous rational difference equations |
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| Authors: | Frank J. Palladino Michael A. Radin |
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| Affiliation: | 1.Department of Mathematics,University of Rhode Island,Kingston,USA;2.School of Mathematical Sciences,Rochester Institute of Technology,Rochester,USA |
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| Abstract: | 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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