The behavior of positive solutions of a nonlinear second-order difference equation.
Stević, Stevo, Berenhaut, Kenneth S. (2008)
Abstract and Applied Analysis
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Displaying similar documents to “The periodic character of the difference equation .”
The behavior of positive solutions of a nonlinear second-order difference equation.
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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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