%0 Journal Article %T On the difference equation \(x_{n+1}=ax_{n}-bx_{n}/\left( cx_{n}-dx_{n-1}\right) \) %A E. M. Elabbasy %A H. El-Metwally %A E. M. Elsayed %J Adv. Difference Equ. %D 2006 %V 2006 %F Elabbasy2006 %0 Journal Article %T On the difference equation \(x_{n+1}=\frac{\alpha x_{n-l}+\beta x_{n-k}}{ Ax_{n-l}+Bx_{n-k}}\) %A E. M. Elabbasy %A H. El-Metwally %A E. M. Elsayed %J Acta Math. Vietnam. %D 2008 %V 33 %F Elabbasy2008 %0 Journal Article %T On study of the asymptotic behavior of some rational difference equations %A M. A. El-Moneam %A S. O. Alamoudy %J Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. %D 2014 %V 21 %F El-Moneam2014 %0 Journal Article %T On the global attractivity and the periodic character of a recursive sequence %A E. M. Elsayed %J Opuscula Math. %D 2010 %V 30 %F Elsayed2010 %0 Book %T Periodicities in nonlinear difference equations %A E. A. Grove %A G. Ladas %D 2005 %I Advances in Discrete Mathematics and Applications, Chapman & Hall/CRC, Boca Raton %C FL %F Grove2005 %0 Journal Article %T Dynamics of a rational difference equation %A W.-T. Li %A H.-R. Sun %J Appl. Math. Comput. %D 2005 %V 163 %F Li2005 %0 Journal Article %T Global attractivity and periodic character of difference equation of order four %A M. A. Obaid %A E. M. Elsayed %A M. M. El-Dessoky %J Discrete Dyn. Nat. Soc. %D 2012 %V 2012 %F Obaid2012 %0 Journal Article %T Dynamics of a higher order rational difference equation %A M. Saleh %A S. Abu-Baha %J Appl. Math. Comput. %D 2006 %V 181 %F Saleh2006 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\frac{D+\alpha x_{n}+\beta x_{n-1}+\gamma x_{n-2}}{Ax_{n}+Bx_{n-1}+Cx_{n-2}}\) %A E. M. E. Zayed %A M. A. EL-Moneam %J Comm. Appl. Nonlinear Anal. %D 2005 %V 12 %F Zayed2005 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\frac{\alpha x_{n}+\beta x_{n-1}+\gamma x_{n-2}+\delta x_{n-3}}{Ax_{n}+Bx_{n-1}+Cx_{n-2}+Dx_{n-3}}\) %A E. M. E. Zayed %A M. A. El-Moneam %J J. Appl. Math. Comput. %D 2006 %V 22 %F Zayed2006 %0 Journal Article %T On the rational recursive sequence\(x_{n+1}=\left( A+\sum_{i=0}^{k}\alpha _{i}x_{n-i}\right) /\left(B+\sum_{i=0}^{k}\beta _{i}x_{n-i}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J Int. J. Math. Math. Sci. %D 2007 %V 2007 %F Zayed2007 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\left( A+\sum_{i=0}^{k}\alpha _{i}x_{n-i}\right)/\sum_{i=0}^{k}\beta _{i}x_{n-i}\) %A E. M. E. Zayed %A M. A. El-Moneam %J Math. Bohem. %D 2008 %V 133 %F Zayed2008 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=ax_{n}-bx_{n}/\left( cx_{n}-dx_{n-k}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J Comm. Appl. Nonlinear Anal. %D 2008 %V 15 %F Zayed2008 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=Ax_{n}+\left( \beta x_{n}+\gamma x_{n-k}\right) /\left(Bx_{n}+Cx_{n-k}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J Comm. Appl. Nonlinear Anal. %D 2009 %V 16 %F Zayed2009 %0 Journal Article %T On the rational recursive sequence \(\ x_{n+1}=\left( \alpha +\beta x_{n-k}\right) /\left( \gamma-x_{n}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J J. Appl. Math. Comput. %D 2009 %V 31 %F Zayed2009 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=Ax_{n}+Bx_{n-k}+\frac{\beta x_{n}+\gamma x_{n-k}}{ Cx_{n}+Dx_{n-k}}\) %A E. M. E. Zayed %A M. A. El-Moneam %J Acta. Appl. Math. %D 2010 %V 111 %F Zayed2010 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\frac{\alpha _{0}x_{n}+\alpha _{1}x_{n-l}+\alpha _{2}x_{n-k}}{ \beta _{0}x_{n}+\beta _{1}x_{n-l}+\beta _{2}x_{n-k}}\) %A E. M. E. Zayed %A M. A. El-Moneam %J Math. Bohem. %D 2010 %V 135 %F Zayed2010 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\gamma x_{n-k}+\left( ax_{n}+bx_{n-k}\right) /\left( cx_{n}-dx_{n-k}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J Bull. Iranian Math. Soc. %D 2010 %V 36 %F Zayed2010 %0 Journal Article %T On the rational recursive two sequences \(x_{n+1}=ax_{n-k}+bx_{n-k}/\left(cx_{n}+\delta dx_{n-k}\right)\) %A E. M. E. Zayed %A M. A. El-Moneam %J Acta. Math. Vietnam. %D 2010 %V 35 %F Zayed2010 %0 Journal Article %T On the global asymptotic stability for a rational recursive sequence %A E. M. E. Zayed %A M. A. El-Moneam %J Iran. J. Sci. Technol. Trans. A Sci. %D 2011 %V 35 %F Zayed2011 %0 Journal Article %T On the global attractivity of two nonlinear difference equations %A E. M. E. Zayed %A M. A. El-Moneam %J Translated from Sovrem. Mat. Prilozh., 70 (2011), J. Math. Sci. (N.Y.) %D 2011 %V 177 %F Zayed2011 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\frac{ A+\alpha _{0}x_{n}+\alpha _{1}x_{n-\sigma }}{ B+\beta _{0}x_{n}+\beta _{1}x_{n-\tau }}\) %A E. M. E. Zayed %A M. A. El-Moneam %J Acta Math. Vietnam. %D 2011 %V 36 %F Zayed2011 %0 Journal Article %T On the rational recursive sequence \(x_{n+1}=\frac{\alpha _{0}x_{n}+\alpha _{1}x_{n-l}+\alpha _{2}x_{n-m}+\alpha _{3}x_{n-k}}{\beta _{0}x_{n}+\beta _{1}x_{n-l}+\beta _{2}x_{n-m}+\beta _{3}x_{n-k}}\) %A E. M. E. Zayed %A M. A. El-Moneam %J WSEAS. Trans. Math. %D 2012 %V 11 %F Zayed2012 %0 Journal Article %T On the qualitative study of the nonlinear difference equation \(x_{n+1}=\frac{\alpha x_{n-\sigma }}{\beta+\gamma x_{n-\tau }^{p}}\) %A E. M. E. Zayed %A M. A. El-Moneam %J Fasc. Math. %D 2013 %V 50 %F Zayed2013