Solutions and Periodicity of a Rational Recursive Sequences of Order Five

被引：26

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

页码：95 / 112

页数：18

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