Asymptotic behavior of solutions of a rational system of difference equations


Authors

Miron B. Bekker - Department of Mathematics, University of Pittsburgh at Johnstown, Johnstown, PA, USA. Martin J. Bohner - Department of Mathematics and Statistics, Missouri S&T, Rolla, MO, USA. Hristo D. Voulov - Department of Mathematics and Statistics, University of Missouri-Kansas City, Kansas City, MO, USA.


Abstract

We consider a two-dimensional autonomous system of rational difference equations with three positive parameters. It was conjectured by Ladas that every positive solution of this system converges to a finite limit. Here we confirm this conjecture.


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