Asymptotic behaviour of solutions of rational difference systems

Abstract

In this article, we investigate the asymptotic behaviour of solutions of systems of rational difference equations in arbitrary dimensions. We give conditions for the parameters ensuring that the positive solutions of the considered system are bounded, unbounded, increasing, decreasing, and convergent, respectively.

Keywords:

• Difference equation
• boundedness
• rational systems

AMS Subject Classifications:

• 39A10
• 39A11
• 39A20

Acknowledgements

Svetlin Georgiev would like to thank Professor Mokhtar Kirane (University of La Rochelle, France) for his suggestion to examine [6, Open Problem 1]).

Notes

No potential conflict of interest was reported by the authors.