scholarly journals Stability of a rational difference equation

2012 ◽  
Vol 25 (12) ◽  
pp. 2232-2239 ◽  
Author(s):  
Qi Wang ◽  
Fanping Zeng ◽  
Xinhe Liu ◽  
Weiling You
Keyword(s):  
Difference Equation ◽  
Rational Difference Equation

Dynamics of a higher-order rational difference equation

2006 ◽  
Vol 178 (2) ◽  
pp. 345-354 ◽  
Author(s):  
Mehdi Dehghan ◽  
Reza Mazrooei-Sebdani
Keyword(s):  
Difference Equation ◽  
Higher Order ◽  
Rational Difference Equation

scholarly journals Boundedness of solutions and stability of certain second-order difference equation with quadratic term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Emin Bešo ◽  
Senada Kalabušić ◽  
Naida Mujić ◽  
Esmir Pilav
Keyword(s):  
Difference Equation ◽  
Initial Conditions ◽  
Second Order ◽  
Quadratic Term ◽  
Real Numbers ◽  
Positive Real ◽  
Order Difference ◽  
Second Order Difference Equation ◽  
Order Difference Equation ◽  
Rational Difference Equation

AbstractWe consider the second-order rational difference equation $$ {x_{n+1}=\gamma +\delta \frac{x_{n}}{x^{2}_{n-1}}}, $$xn+1=γ+δxnxn−12, where γ, δ are positive real numbers and the initial conditions $x_{-1}$x−1 and $x_{0}$x0 are positive real numbers. Boundedness along with global attractivity and Neimark–Sacker bifurcation results are established. Furthermore, we give an asymptotic approximation of the invariant curve near the equilibrium point.

scholarly journals Dynamics of a Rational Difference Equation

2010 ◽  
Vol 2010 (1) ◽  
pp. 970720
Author(s):  
Xiu-Mei Jia ◽  
Lin-Xia Hu ◽  
Wan-Tong Li
Keyword(s):  
Difference Equation ◽  
Rational Difference Equation

scholarly journals ON A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION

2016 ◽  
Vol 34 (5_6) ◽  
pp. 369-382 ◽  
Author(s):  
FARIDA BELHANNACHE ◽  
NOURESSADAT TOUAFEK ◽  
RAAFAT ABO-ZEID
Keyword(s):  
Difference Equation ◽  
Higher Order ◽  
Rational Difference Equation

Dynamics of a Higher Order Rational Difference Equation

2011 ◽  
Vol 216 ◽  
pp. 50-55 ◽  
Author(s):  
Yi Yang ◽  
Fei Bao Lv
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Initial Conditions ◽  
Higher Order ◽  
Rational Difference Equation ◽  
The Difference

In this paper, we address the difference equation xn=pxn-s+xn-t/q+xn-t n=0,1,... with positive initial conditions where s, t are distinct nonnegative integers, p, q > 0. Our results not only include some previously known results, but apply to some difference equations that have not been investigated so far.

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