On the recursive sequence yn+l = α+yn-1/β+yn+Yn-1/Yn

被引:5
|
作者
Ozen, S. [1 ]
Ozturk, I.
Bozkurt, F.
机构
[1] Erciyes Univ, Fac Sci & Arts, Dept Math, Kayseri, Turkey
[2] Erciyes Univ, Dept Math, KMYO, Kayseri, Turkey
[3] Erciyes Univ, Fac Educ, Dept Math, TR-38039 Kayseri, Turkey
关键词
difference equations; global stability; period; 2; solutions; boundedness;
D O I
10.1016/j.amc.2006.09.106
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the global stability, the boundedness character and the periodic nature of the positive solutions of the difference equation yn+1 = (beta+yn) (alpha+yn-1) + (yn)/(yn-1), n = 0, 1,2,..., where a, beta epsilon (0,infinity), a not equal beta, beta not equal 2 and the initial conditions y(-1), y(0) are arbitrary positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:180 / 188
页数:9
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