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.
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.
Miron B. Bekker, Martin J. Bohner, Hristo D. Voulov, Asymptotic behavior of solutions of a rational system of difference equations, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 6, 379--382
Bekker Miron B., Bohner Martin J., Voulov Hristo D., Asymptotic behavior of solutions of a rational system of difference equations. J. Nonlinear Sci. Appl. (2014); 7(6):379--382
Bekker, Miron B., Bohner, Martin J., Voulov, Hristo D.. "Asymptotic behavior of solutions of a rational system of difference equations." Journal of Nonlinear Sciences and Applications, 7, no. 6 (2014): 379--382