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

被引：40
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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收藏
页码：1387 / 1393
页数：7
相关论文
共 6 条
[1]   Stability of the recursive sequence xn+1 = (α-βxn)/(γ+xn-1) [J].
Aboutaleb, MT ;
El-Sayed, MA ;
Hamza, AE .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (01) :126-133
[2]   Global behavior of yn+1=p+yn-k/qyn+yn-k [J].
DeVault, R ;
Kosmala, W ;
Ladas, G ;
Schultz, SW .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4743-4751
[3]   On the difference equation xn+1 = a+αxn+αxn-1+•••+αxn-k+2/xn-k+1 [J].
El-Afifi, MM ;
Ahmed, AM .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) :537-542
[4]   On the difference equation xn+1=α+βxn-1e-xn [J].
El-Metwally, H ;
Grove, EA ;
Ladas, G ;
Levins, R ;
Radin, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4623-4634
[5]   On the trichotomy character of Xn+1=(α+βXn+γXn-1)/A+Xn [J].
Gibbons, CH ;
Kulenovic, MRS ;
Ladas, G ;
Voulov, HD .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (01) :75-92
[6]  
WANSHENG H, 2004, APPL MATH E NOTES, V4, P48
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