On the difference equation yn+1 = α+βe-yn/γ+yn-1

被引：39
|
作者：
Ozturk, I.
Bozkurt, F.
Ozen, S. [1 ]
机构：
[1] Erciyes Univ, Fac Sci & Arts, Dept Math, TR-38039 Kayseri, Turkey
[2] Erciyes Univ, Dept Math, Fac Educ, TR-38039 Kayseri, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期
关键词：
difference equations; boundedness; global asymptotically stability;
D O I：
10.1016/j.amc.2006.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the convergence, the boundedness and the periodic character of the positive solutions of the difference equation y(n+1) = alpha + beta e(-yn)/gamma + y(n-1), n = 0,1,2,..., where the parameters alpha, beta, gamma are positive numbers and the initial conditions y(-1), y(0) are arbitrary non-negative numbers. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1387 / 1393
页数：7
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