Solutions and Periodicity of a Rational Recursive Sequences of Order Five

被引：25
|
作者：
Elsayed, E. M. [1 ,3 ]
Ibrahim, T. F. [2 ,3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] King Khalid Univ, Fac Sci & Arts SA, Dept Math, Abha, Saudi Arabia
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 01期
关键词：
Difference equations; Recursive sequences; Stability; Periodic solution; DIFFERENCE EQUATION XN+1; POSITIVE SOLUTIONS; GLOBAL BEHAVIOR; SYSTEMS; DYNAMICS;
D O I：
10.1007/s40840-014-0005-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the solutions of the recursive sequences x(n+1) = x(n)x(n-2)x(n-4)/x(n-1)x(n-3)(+/- 1 +/- x(n)x(n-2)x(n-4)), n = 0, 1, ..., where the initial conditions x(-4), x(-3), x(-2), x(-1) and x(0) are arbitrary nonzero real numbers are obtained. The stability and periodicity of the solutions are studied as well.
引用
收藏
页码：95 / 112
页数：18
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