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Qualitative properties of some higher order difference equations. (English) Zbl 1189.39014

Summary: We present sufficient conditions which guarantee that all positive solutions of some higher order rational difference equations are global asymptotically stable. The boundedness of the solutions and the existence of prime period two solutions of such equations are also investigated.

MSC:

39A22 Growth, boundedness, comparison of solutions to difference equations
39A23 Periodic solutions of difference equations
39A30 Stability theory for difference equations
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