A trichotomy result for non-autonomous rational difference equations

作者：Palladino Frank J^*; Radin Michael A

来源：Central European Journal of Mathematics, 2011, 9(5): 1135-1142.

DOI：10.2478/s11533-011-0066-3

• Difference equation
• Trichotomy
• Non-autonomous
• Periodic convergence
• Global asymptotic stability

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.

• 出版日期2011-10