On the Behavior of Solutions of the System of Rational Difference Equations: xn+1 = xn-1/(ynxn-1-1), yn+1 = yn-1/(xnyn-1-1), and zn+1 = zn-1/(ynzn-1-1)

被引:25
|
作者
Kurbanli, Abdullah Selcuk [1 ]
机构
[1] Selcuk Univ, Dept Math, Fac Educ, TR-42090 Konya, Turkey
关键词
GLOBAL ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; Y(N); X(N); ORDER;
D O I
10.1155/2011/932362
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the solutions of the system of difference equations x(n+1) = x(n-1)/(y(n)x(n-1) - 1), y(n+1) = y(n-1)/(x(n)y(n-1) - 1), z(n+1) = z(n-1)/(y(n)z(n-1) - 1), where y(0), y(-1), x(0), x(-1), z(-1), z(0) is an element of R.
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页数:12
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