On the Global Asymptotic Stability of a Second-Order System of Difference Equations

被引：60
|
作者：
Yalcinkaya, Ibrahim [1 ]
机构：
[1] Selcuk Univ, Fac Educ, Dept Math, TR-42099 Meram Yeni Yol, Konya, Turkey
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2008年 / 2008卷
关键词：
D O I：
10.1155/2008/860152
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations z(n+1) = (t(n)z(n-1) + a)/(t(n) + z(n-1)), t(n+1) = (z(n)t(n-1) + a)/(z(n) + t(n-1)), n = 0, 1, 2,..., where the parameter a epsilon(0,infinity) and the initial values (z(k), t(k))epsilon(0, infinity) (for k = -1, 0). Copyright (C) 2008 Ibrahim Yalcinkaya.
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页数：12
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