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
收藏
页码：21 / 24
页数：4
相关论文
共 50 条
  • [31] On the difference equation xn+1=α+βxn-1e-xn
    El-Metwally, H
    Grove, EA
    Ladas, G
    Levins, R
    Radin, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4623 - 4634
  • [32] On the Difference Equation xn+1 = xnxn-k/(xn-k+1(a + bxnxn-k))
    Stevic, Stevo
    Diblik, Josef
    Iricanin, Bratislav
    Smarda, Zdenek
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [33] On the asymptotic behavior of xn+1=anxn/xn-1
    Abu-Saris, R
    DeVault, R
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 280 (01) : 148 - 154
  • [34] On the recursive sequence xn+1 = α+βxn-1/1+g (xn)
    Stevic, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (12): : 1767 - 1774
  • [35] On the recursive sequence xn+1 = α + xn-1/xnk
    Hamza, Alaa E.
    Morsy, A.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 91 - 95
  • [36] The recursive sequence xn+1=g(xn,xn-1)/(A+xn)
    Stevo, S
    APPLIED MATHEMATICS LETTERS, 2002, 15 (03) : 305 - 308
  • [37] On the recursive sequence xn+1=(αxn+βxn-1)/(A+xn)
    Kulenovic, MRS
    Ladas, G
    Prokup, NR
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (05) : 563 - 576
  • [38] On period two solutions of -: xn+1=α+βxn+γxn-1/A+Bxn+Cxn-1
    Kulenovic, MRS
    Ladas, G
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (05) : 641 - 646
  • [39] On convergence of a recursive sequence xn+1= f (xn-1, xn)
    Takahasi, SE
    Miura, Y
    Miura, T
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (03): : 631 - 638
  • [40] On the trichotomy character of Xn+1=(α+βXn+γXn-1)/A+Xn
    Gibbons, CH
    Kulenovic, MRS
    Ladas, G
    Voulov, HD
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (01) : 75 - 92
12345