Reduction of Order, Periodicity and Boundedness in Nonlinear, Higher Order Difference Equations

Details Reduction of Order, Periodicity and Boundedness in Nonlinear, Higher Order Difference Equations Reduction of Order, Periodicity and Boundedness in Nonlinear, Higher Order Difference Equations

2012-03-26

arxiv.org/abs/1203.5743v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

We consider the semiconjugate factorization and reduction of order for non-autonomous, nonlinear, higher order difference equations containing linear arguments. These equations have appeared in several mathematical models in biology and economics. By extending some recent results to cases where characteristic polynomials of the linear expressions have complex roots, we obtain new results on boundedness and the existence of periodic solutions for equations of order 3 or greater.

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