Qualitative behavior of a higher-order nonautonomous rational difference equation

2020 ◽  
Vol 64 (1-2) ◽  
pp. 399-409
Author(s):  
Mohamed Amine Kerker ◽  
Elbahi Hadidi ◽  
Abdelouahab Salmi
Keyword(s):  
Difference Equation ◽  
Higher Order ◽  
Qualitative Behavior ◽  
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 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 nonlinear rational difference equation

2005 ◽  
Vol 11 (2) ◽  
pp. 133-150 ◽  
Author(s):  
You-Hui Su ◽  
Wan-Tong Li § ◽  
Stevo Stević
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.

scholarly journals On the Dynamics of a Higher-Order Rational Difference Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
A. M. Ahmed
Keyword(s):  
Asymptotic Stability ◽  
Difference Equation ◽  
Global Asymptotic Stability ◽  
Higher Order ◽  
Real Numbers ◽  
Rational Difference Equation

The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equationxn+1=αxn-1/(β+γΠi=lkxn-2ipi),  n=0,1,2,…, where the parametersα,β,γ,pl,pl+1,…,pkare nonnegative real numbers, andl,kare nonnegative integers such thatl≤k.

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