scholarly journals Qualitative properties for a fourth-order rational difference equation

2005 ◽  
Vol 311 (1) ◽  
pp. 103-111 ◽  
Author(s):  
Xianyi Li
Keyword(s):  
Difference Equation ◽  
Fourth Order ◽  
Qualitative Properties ◽  
Rational Difference Equation

scholarly journals Global Asymptotic Stability for a Fourth-Order Rational Difference Equation

2009 ◽  
Vol 2009 ◽  
pp. 1-7
Author(s):  
Meseret Tuba Gülpinar ◽  
Mustafa Bayram
Keyword(s):  
Asymptotic Stability ◽  
Difference Equation ◽  
Fourth Order ◽  
Positive Equilibrium ◽  
Global Behavior ◽  
Asymptotically Stable ◽  
Nontrivial Solutions ◽  
Globally Asymptotically Stable ◽  
Rational Difference Equation ◽  
Positive Equilibrium Point

Our aim is to investigate the global behavior of the following fourth-order rational difference equation: , where and the initial values . To verify that the positive equilibrium point of the equation is globally asymptotically stable, we used the rule of the successive lengths of positive and negative semicycles of nontrivial solutions of the aforementioned 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
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