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1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

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Difference Equations With Eventually Periodic Solutions
by
Amal M. Al-Amleh
University of Rhode Island
Coauthors: G. Ladas, J.T. Hoag

We show that every solution of the difference equation x(n+1) = max{ [ 1/x(n)], [ A/(x(n-1))] }, n = 0, 1 ... where the parameter A and the initial conditions x(-1) and x(0) are nonzero real numbers is eventually periodic with period 2, 3, or 4. We also give a precise description of the period in terms of A and the initial conditions. Extentions and generalizations will also be presented.

Date received: May 26, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabd-24.