On the positive solutions of the difference equation xn+1 = (xn-1)/(1+xnxn-1)

被引：74

作者：

Çinar, C ^{[1
]}

机构：

[1] Selcuk Univ, Fac Educ, Dept Math, TR-42099 Konya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 150卷 / 01期

关键词：

difference equation; recursive sequence; positive solutions;

D O I：

10.1016/S0096-3003(03)00194-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The positive solutions of the difference equation x(n+1) = (x(n-1))/(1 + x(n)x(n-1)), n = 0, 1, 2,..., are investigated, where x(-1) and x(0) are the positive real numbers. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：21 / 24

页数：4

共 50 条

[11] On the difference equation xn+1 = (αxn + βxn-1)e-xn
Ding, Xiaohua
Zhang, Rongyan
ADVANCES IN DIFFERENCE EQUATIONS, 2008,
[12] Global attractivity of the difference equation xn+1 = (xn+αxn-1)/(β+xn)
Chen, Haibo
Wang, Haihua
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 1431 - 1438
[13] Asymptotic behavior of the solutions of the difference equation xn+1 = xn2f(xn-1)
Karakostas, GL
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (06) : 599 - 602
[14] On the boundedness nature of positive solutions of the difference equation xn+1= max(An/xn, Bn/xn-1) with periodic parameters
Kent, CM
Radin, MA
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 11 - 15
[15] Some Notes on the Difference Equation xn+1 = α + (xn-1/xnk)
Gumus, Mehmet
Ocalan, Ozkan
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[16] On the Difference Equation xn+1 = xnxn-2-1
Kent, Candace M.
Kosmala, Witold
Stevic, Stevo
ABSTRACT AND APPLIED ANALYSIS, 2011,
[17] ON THE NATURE OF SOLUTIONS OF THE DIFFERENCE EQUATION XN+1 = XNXN-3 - 1
Kent, C. M.
Kosmala, W.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2011, 2 (02): : 24 - 43
[18] Boundedness properties of the difference equation xn+1=(α+βxn+δxn-2)/(xn-1)
Knopf, Peter M.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (07) : 607 - 619
[19] On convergence of the solutions of the difference equation xn+1=1+xn-1/xn
Sun, Taixiang
Xi, Hongjian
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) : 1491 - 1494
[20] On the nonautonomous equation xn+1 = max {An/xn, Bn/xn-1}
Briden, WJ
Grove, EA
Ladas, G
McGrath, LC
NEW DEVELOPMENTS IN DIFFERENCE EQUATIONS AND APPLICATIONS, 1999, : 49 - 73

← 1 2 3 4 5 →