1Department of Mathematics and Computing Science, Saint Mary's University, 923 Robie Street, Halifax, NS B3H 3C3, Canada
2American College of Greece, 6 Gravias Street, Aghia Paraskevi, 15342 Athens, Greece
3Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA
AMS subject classification: 39A10, 39A11, 39A20.
We investigate the global stability character, the periodic nature, and the boundedness of solutions of a rational difference equation with non-negative parameters and with non-negative initial conditions. We also pose several open problems and conjectures which we are unable to resolve at this time.
Boundedness, global stability, invariant, periodicity, rational difference equations, rational systems
