Title

On the global character of the system xn+1=α1+γ1yn/xn and yn+1= β2xn+γ2yn/B2xn+C2yn

Document Type

Article

Date of Original Version

12-1-2009

Abstract

We investigate the global character of solutions of the rational system in the title with nonnegative parameters and with arbitrary positive initial conditions. In particular we obtain necessary and sufficient conditions for all solutions of the system to be bounded. We also show that in a certain region of the parameters every solution of the system converges to a finite limit or to a period-two solution. © 2009 Academic Publications.

Publication Title

International Journal of Pure and Applied Mathematics

Volume

53

Issue

1

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