Global behavior of the solutions of some difference equations

被引：50
作者：
Elabbasy, Elmetwally M. [1 ]
El-Metwally, Hamdy A. [2 ,4 ]
Elsayed, Elsayed M. [3 ,4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] King Abdulaziz Univ, Fac Sci & Art Rabigh, Dept Math, Rabigh 21911, Saudi Arabia
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[4] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
关键词：
Stability; Solutions of the difference equations; QUALITATIVE BEHAVIOR; ATTRACTIVITY; DYNAMICS;
D O I：
10.1186/1687-1847-2011-28
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study the difference equation x(n+1) = ax(n-l)x(n-k)/b(xn-p) - c(xn-q), n = 0,1, ... , where the initial conditions x(-r), x(-r+1), x(-r+2), ..., x(0) are arbitrary positive real numbers, r = max{l, k, p, q} is nonnegative integer and a, b, c are positive constants: Also, we study some special cases of this equation.
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页数：16
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