TY - JOUR AU - Bekker, Miron B. AU - Bohner, Martin J. AU - Voulov, Hristo D. PY - 2014 TI - Asymptotic behavior of solutions of a rational system of difference equations JO - Journal of Nonlinear Sciences and Applications SP - 379--382 VL - 7 IS - 6 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.007.06.02 DO - 10.22436/jnsa.007.06.02 ID - Bekker2014 ER - TY - JOUR TI - When does local asymptotic stability imply global attractivity in rational equations? AU - E. Camouzis AU - G. Ladas JO - J. Difference Equ. Appl. PY - 2006 DA - 2006// VL - 12 ID - Camouzis2006 ER - TY - BOOK TI - Dynamics of third-order rational difference equations with open problems and conjectures AU - E. Camouzis AU - G. Ladas PB - Advances in Discrete Mathematics and Applications, 5. Chapman & Hall CRC, Boca Raton PY - 2008 DA - 2008// CY - FL ID - Camouzis2008 ER - TY - JOUR TI - Rational systems in the plane AU - E. Camouzis AU - M. R. S. Kulenović AU - G. Ladas AU - O. Merino JO - J. Difference Equ. Appl. PY - 2009 DA - 2009// VL - 15 ID - Camouzis2009 ER - TY - JOUR TI - Global results on rational systems in the plane, part 1 AU - E. Camouzis AU - G. Ladas JO - J. Difference Equ. Appl. PY - 2010 DA - 2010// VL - 16 ID - Camouzis2010 ER - TY - JOUR TI - On the global character of solutions of the system: \(x_{n+1} = \frac{\alpha_1+y_n}{ x_n}\) and \(y_{n+1} = \frac{\alpha_2+\beta_2x_n+\gamma_2y_n}{ A_2+B_2x_n+C_2y_n}\) AU - E. Camouzis AU - C. M. Kent AU - G. Ladas AU - C. D. Lynd JO - J. Difference Equ. Appl. PY - 2012 DA - 2012// VL - 18 ID - Camouzis2012 ER -