%0 Journal Article %T Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations %A Aljoufi, L. Sh. %A Mohammady, S. A. %A Ahmed, A. M. %J Journal of Mathematics and Computer Science %D 2023 %V 28 %N 3 %@ ISSN 2008-949X %F Aljoufi2023 %X The aim of this work is to obtain the forms of the solutions of the following nonlinear eighteenth-order difference equations \[ x_{n+1}=\frac{x_{n-17}}{\pm 1\pm x_{n-2}x_{n-5}x_{n-8}x_{n-11}x_{n-14}x_{n-17}},\ \ \ \ n=0,1,2,\ldots, \] where the initial conditions \(x_{-17},x_{-16},\ldots,x_{0}\) are arbitrary real numbers. Moreover, we investigate stability, boundedness, oscillation, and the periodic character of these solutions. Finally, we confirm the results with some numerical examples and graphs by using Matlab program. %9 journal article %R 10.22436/jmcs.028.03.04 %U http://dx.doi.org/10.22436/jmcs.028.03.04 %P 258--269 %0 Book %T Difference equations and inequalities %A R. P. Agarwal %D 2000 %I Marcel Dekker %C New York %F Agarwal2000 %0 Journal Article %T Periodicity and stability of solutions of higher order rational difference equation %A R. P. Agarwal %A E. M. Elsayed %J Adv. Stud. Contemp. Math. (Kyungshang) %D 2008 %V 17 %F Agarwal2008 %0 Journal Article %T On the dynamics of a higher-order rational difference equation %A A. M. Ahmed %J Discrete Dyn. Nat. Soc. %D 2011 %V 2011 %F Ahmed2011 %0 Journal Article %T Expressions and Dynamical Behavior of Solutions of a Class of Rational Difference Equations of Fifteenth-Order %A A. Ahmed %A S. Al Mohammady %A L. Sh. Aljoufi %J J. Math. Comput. Sci. %D 2022 %V 25 %F Ahmed2022 %0 Journal Article %T On the recursive sequence $x_{n+1}=\dfrac{a+bx_{n-1}}{A+Bx_{n}^{k}}$ %A A. M. Ahmed %A H. M. El-Owaidy %A A. Hamza %A A. M. Youssef %J J. Appl. Math. Inform. %D 2009 %V 27 %F Ahmed2009 %0 Journal Article %T A solution form of a class of higher-order rational difference equations %A A. M. Ahmed %A A. M. Youssef %J J. Egyptian Math. Soc. %D 2013 %V 21 %F Ahmed2013 %0 Journal Article %T Dynamics of a rational difference equation %A M. Aloqeili %J Appl. Math. Comput. %D 2006 %V 176 %F Aloqeili2006 %0 Journal Article %T A difference equation with eventually periodic solutions, II %A A. M. Amleh %A J. Hoag %A G. Ladas %J Comput. Math. Appl. %D 1998 %V 36 %F Amleh1998 %0 Journal Article %T On the Positive Solutions of the Difference Equation $x_{n+1}=\dfrac{x_{n-1}}{1+x_{n}x_{n-1}}$ %A C. Cinar %J Appl. Math. Comput. %D 2004 %V 150 %F Cinar2004 %0 Journal Article %T On the Difference Equation $x_{n+1}=\dfrac{x_{n-1}}{-1+x_{n}x_{n-1}}$ %A C. Cinar %J Appl. Math. Comput. %D 2004 %V 158 %F Cinar2004 %0 Journal Article %T On the Positive Solutions of the Difference Equation $x_{n+1}=\dfrac{ax_{n-1}}{1+bx_{n}x_{n-1}}$ %A C. Cinar %J Appl. Math. Comput. %D 2004 %V 156 %F Cinar2004 %0 Journal Article %T Global behavior of solutions of the nonlinear difference equation $x_{n+1}=\frac{p_{n}+x_{n-1}}{x_{n}}$ %A R. Devault %A V. L. Kocic %A D. Stutson %J J. Difference Equ. Appl. %D 2005 %V 11 %F Devault2005 %0 Journal Article %T On the difference equation $x_{n+1}=\frac{x_{n-5}}{-1+x_{n-2}x_{n-5}}$ %A E. M. Elsayed %J Int. J. Contemp. Math. Sci. %D 2008 %V 3 %F Elsayed2008 %0 Journal Article %T Expressions and dynamical behavior of rational recursive sequences %A E. M. Elsayed %A M. M. Alzubaidi %J J. Comput. Anal. Appl. %D 2020 %V 28 %F Elsayed2020 %0 Book %T Periodicities in nonlinear difference equations %A E. A. Grove %A G. Ladas %D 2005 %I Chapman & Hall/CRC Press %C Boca Raton %F Grove2005 %0 Journal Article %T On positive solutions of the difference equation $x_{n+1}=\frac{x_{n-5}}{1+x_{n-2}x_{n-5}}$ %A R. Karatas %A C. Cinar %A D. Simsek %J Int. J. Contemp. Math. Sci. %D 2006 %V 1 %F Karatas2006 %0 Book %T Global behavior of nonlinear difference equations of higher order with applications %A V. L. Kocic %A G. Ladas %D 1993 %I Kluwer Academic Publishers Group %C Dordrecht %F Kocic1993 %0 Book %T Dynamics of second order rational difference equations with open problems and conjectures %A M. R. S. Kulenovic %A G. Ladas %D 2001 %I Chapman and Hall/CRC Press %C New York %F Kulenovic2001