On the periodicity of solutions of max-type difference equation

被引：6
|
作者：
El-Dessoky, M. M. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 15期
关键词：
solution of difference equations; recursive sequences; max-type difference equation; periodic solution; boundedness; GLOBAL STABILITY; XN+1;
D O I：
10.1002/mma.3296
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to study the periodic nature of the solution of the following max-type difference equation: x(n+1) = max {A(n)/x(n-1),x(n-2)}, n = 0, 1, . . ., where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and {A(n)}(n=0)(infinity) is a periodic sequence of period two. Copyright (C) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码：3295 / 3307
页数：13
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