%0 Journal Article %T Asymptotic behavior of solutions of a rational system of difference equations %A Bekker, Miron B. %A Bohner, Martin J. %A Voulov, Hristo D. %J Journal of Nonlinear Sciences and Applications %D 2014 %V 7 %N 6 %@ ISSN 2008-1901 %F Bekker2014 %X 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. %9 journal article %R 10.22436/jnsa.007.06.02 %U http://dx.doi.org/10.22436/jnsa.007.06.02 %P 379--382 %0 Journal Article %T When does local asymptotic stability imply global attractivity in rational equations? %A E. Camouzis %A G. Ladas %J J. Difference Equ. Appl. %D 2006 %V 12 %F Camouzis2006 %0 Book %T Dynamics of third-order rational difference equations with open problems and conjectures %A E. Camouzis %A G. Ladas %D 2008 %I Advances in Discrete Mathematics and Applications, 5. Chapman & Hall CRC, Boca Raton %C FL %F Camouzis2008 %0 Journal Article %T Rational systems in the plane %A E. Camouzis %A M. R. S. Kulenović %A G. Ladas %A O. Merino %J J. Difference Equ. Appl. %D 2009 %V 15 %F Camouzis2009 %0 Journal Article %T Global results on rational systems in the plane, part 1 %A E. Camouzis %A G. Ladas %J J. Difference Equ. Appl. %D 2010 %V 16 %F Camouzis2010 %0 Journal Article %T On the global character of solutions of the system: \(x_{n+1} = \frac{\alpha_1+y_n}{ x_n}\) and \(y_{n+1} = \frac{\alpha_2+\beta_2x_n+\gamma_2y_n}{ A_2+B_2x_n+C_2y_n}\) %A E. Camouzis %A C. M. Kent %A G. Ladas %A C. D. Lynd %J J. Difference Equ. Appl. %D 2012 %V 18 %F Camouzis2012