Displaying similar documents to “A short proof of the Cushing-Henson conjecture.”

A trichotomy result for non-autonomous rational difference equations

Frank Palladino, Michael Radin (2011)

Open Mathematics

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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.

Existence of positive periodic solutions of higher-order functional difference equations

Xin-Ge Liu, Mei-Lan Tang (2014)

Applications of Mathematics

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Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.