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
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
收藏
页码:21 / 24
页数:4
相关论文
共 6 条
  • [1] On the recursive sequence xn+1=α+βxn/Bxn+Cxn-1
    Cunningham, K
    Kulenovic, MRS
    Ladas, G
    Valicenti, SV
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4603 - 4614
  • [2] Global behavior of yn+1=p+yn-k/qyn+yn-k
    DeVault, R
    Kosmala, W
    Ladas, G
    Schultz, SW
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4743 - 4751
  • [3] On the recursive sequence Xn+1=A/xnp+B/xn-1q+C/xn-2S
    El-Owaidy, HM
    Ragab, AA
    El-Afifi, MM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 112 (2-3) : 277 - 290
  • [4] A note on the periodic cycle of Xn+2=(1+Xn+1)/(Xn)
    El-Owaidy, HM
    El-Afifi, MM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 109 (2-3) : 301 - 306
  • [5] LI L, 2000, COMPUT MATH APPL, V88, P29
  • [6] A rational recursive sequence
    Zhang, DC
    Shi, B
    Gai, MJ
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (3-4) : 301 - 306