The Periodicity of Positive Solutions of the Nonlinear Difference Equation xn+1 = α + (xn-kp)/(xnq)

被引:6
|
作者
Gumus, Mehmet [1 ]
机构
[1] Bulent Ecevit Univ, Fac Sci & Arts, Dept Math, TR-67100 Zonguldak, Turkey
关键词
D O I
10.1155/2013/742912
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a remark about the periodic character of positive solutions of the difference equation x(n+1) = alpha +x(n-k)(p)/x(n)(q), n = 0, 1, ..., where k > 1 is an odd integer, alpha,p,q,epsilon (0,infinity), and the initial conditions x(-k), ... , x(0) are arbitrary positive numbers.
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页数:3
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