TY - JOUR TI - On the difference equation \(x_{n+1} = ax_n - bx_n/ (cx_n - dx_{n-1})\) AU - E. M. Elabbasy AU - H. El-Metwally AU - E. M. Elsayed JO - Adv. Difference Equ. PY - 2006 DA - 2006// VL - 2006 ID - Elabbasy2006 ER - TY - JOUR TI - On the difference equation \(x_{n+1} = (\alpha x_{n-l} + \beta x_{n-k}) / (Ax_{n-l} + Bx_{n-k})\) AU - E. M. Elabbasy AU - H. El-Metwally AU - E. M. Elsayed JO - Acta Math. Vietnam. PY - 2008 DA - 2008// VL - 33 ID - Elabbasy2008 ER - TY - JOUR TI - On study of the asymptotic behavior of some rational difference equations AU - M. A. El-Moneam AU - S. O. Alamoudy JO - Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. PY - 2014 DA - 2014// VL - 21 ID - El-Moneam2014 ER - TY - JOUR TI - On the global attractivity and periodic character of a recursive sequence AU - E. M. Elsayed JO - Opuscula Math. PY - 2010 DA - 2010// VL - 30 ID - Elsayed 2010 ER - TY - BOOK TI - Periodicities in nonlinear difference equations AU - E. A. Grove AU - G. Ladas PB - Chapman & Hall/CRC PY - 2005 DA - 2005// CY - Boca Raton ID - Grove2005 ER - TY - JOUR TI - Dynamics of a rational difference equation AU - W. T. Li AU - H. R. Sun JO - Appl. Math. Comput. PY - 2005 DA - 2005// VL - 163 ID - Li2005 ER - TY - JOUR TI - Global attractivity and periodic character of difference equation of order four AU - M. A. Obaid AU - E. M. Elsayed AU - M. M. El-Dessoky JO - Discrete Dyn. Nat. Soc. PY - 2012 DA - 2012// VL - 2012 ID - Obaid2012 ER - TY - JOUR TI - Dynamics of a higher order rational difference equation AU - M. Saleh AU - S. Abu-Baha JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 181 ID - Saleh2006 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = (D+ \alpha x_n + \beta x_{n-1} + \gamma x_{n-2})/(Ax_n + Bxn-1 + Cx_{n-2})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Comm. Appl. Nonlinear Anal. PY - 2005 DA - 2005// VL - 12 ID - Zayed2005 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = (\alpha x_n + \beta x_{n-1} + \gamma x_{n-2} + \delta x_{n-3})/(Ax_n + Bx_{n-1} + Cx_{n-2} + Dx_{n-3})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - J. Appl. Math. Comput. PY - 2006 DA - 2006// VL - 22 ID - Zayed2006 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = \left( A + \Sigma_{i=0}^k \alpha_ix_{n-i} \right)/ \Sigma_{i=0}^k \beta_ix_{n-i}\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Math. Bohem. PY - 2008 DA - 2008// VL - 133 ID - Zayed2008 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = \left( A + \Sigma_{i=0}^k \alpha_ix_{n-i} \right) /\left( \Sigma_{i=0}^k \beta_ix_{n-i}\right)\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Int. J. Math. Math. Sci. PY - 2007 DA - 2007// VL - 2007 ID - Zayed2007 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = ax_n - bx_n/ (cx_n - dx_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Comm. Appl. Nonlinear Anal. PY - 2008 DA - 2008// VL - 15 ID - Zayed2008 ER - TY - JOUR TI - On the Rational Recursive Sequence \(x_{n+1} = (\alpha + \beta x_{n-k})/ (\gamma - x_n)\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - J. Appl. Math. Comput. PY - 2009 DA - 2009// VL - 31 ID - Zayed2009 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = Ax_n +(\beta x_n + \gamma x_{n-k}) / (Cx_n + Dx_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Comm. Appl. Nonlinear Anal. PY - 2009 DA - 2009// VL - 16 ID - Zayed2009 ER - TY - JOUR TI - On the Rational Recursive Sequence \(x_{n+1} = x_{n-k} + (ax_n + bx_{n-k}) / (cx_n - dx_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Bull. Iranian Math. Soc. PY - 2010 DA - 2010// VL - 36 ID - Zayed2010 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = (\alpha_0x_n + \alpha_1x_{n-l} + \alpha_2x_{n-k}) / (\beta_0x_n + \beta_1x_{n-l} + \beta_2x_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Math. Bohem. PY - 2010 DA - 2010// VL - 135 ID - Zayed2010 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = Ax_n + Bx_{n-k} + (\beta x_n + \gamma x_{n-k}) / (Cx_n + Dx_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Acta Appl. Math. PY - 2010 DA - 2010// VL - 111 ID - Zayed2010 ER - TY - JOUR TI - On the rational recursive two sequences \(x_{n+1} = ax_{n-k} + bx_{n-k}/ (cx_n + \delta dx_{n-k})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Acta Math. Vietnam. PY - 2010 DA - 2010// VL - 35 ID - Zayed2010 ER - TY - JOUR TI - On the global attractivity of two nonlinear difference equations AU - E. M. E. Zayed AU - M. A. El-Moneam JO - J. Math. Sci. (N.Y.) PY - 2011 DA - 2011// VL - 177 ID - Zayed2011 ER - TY - JOUR TI - On the rational recursive sequence \(x_{n+1} = (A + \alpha_0x_n + \alpha_1x_{n-\sigma}) / (B + \beta_0x_n + \beta_1x_{n-\tau})\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Acta Math. Vietnam PY - 2011 DA - 2011// VL - 36 ID - Zayed2011 ER - TY - JOUR TI - On the global asymptotic stability for a rational recursive sequence AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Iran. J. Sci. Technol. Trans. A Sci. PY - 2011 DA - 2011// VL - 35 ID - Zayed2011 ER - TY - JOUR TI - On the global stability of the nonlinear difference equation \(x_{n+1} = \frac{\alpha_0x_n+\alpha_1x_{n-l}+\alpha_2x_{n-m}+\alpha_3x_{n-k}}{ \beta_0x_n+\beta_1x_{n-l}+\beta_2x_{n-m}+\beta_3x_{n-k}}\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - WSEAS Transactions on Mathematics PY - 2012 DA - 2012// VL - 11 ID - Zayed2012 ER - TY - JOUR TI - On the qualitative study of the nonlinear difference equation \(x_{n+1} =\frac{ \alpha x_{n-\sigma}}{ \beta+\gamma x^p _{n-\tau}}\) AU - E. M. E. Zayed AU - M. A. El-Moneam JO - Fasc. Math. PY - 2013 DA - 2013// VL - 50 ID - Zayed2013 ER -