On the recursive sequence yn+l = α+yn-1/β+yn+Yn-1/Yn

被引:5
|
作者
Ozen, S. [1 ]
Ozturk, I.
Bozkurt, F.
机构
[1] Erciyes Univ, Fac Sci & Arts, Dept Math, Kayseri, Turkey
[2] Erciyes Univ, Dept Math, KMYO, Kayseri, Turkey
[3] Erciyes Univ, Fac Educ, Dept Math, TR-38039 Kayseri, Turkey
关键词
difference equations; global stability; period; 2; solutions; boundedness;
D O I
10.1016/j.amc.2006.09.106
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the global stability, the boundedness character and the periodic nature of the positive solutions of the difference equation yn+1 = (beta+yn) (alpha+yn-1) + (yn)/(yn-1), n = 0, 1,2,..., where a, beta epsilon (0,infinity), a not equal beta, beta not equal 2 and the initial conditions y(-1), y(0) are arbitrary positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:180 / 188
页数:9
相关论文
共 50 条
  • [1] On the rational recursive sequence yn = A + yn-1yn-m for small A
    Berenhaut, Kenneth S.
    Donadio, Katherine M.
    Foley, John D.
    APPLIED MATHEMATICS LETTERS, 2008, 21 (09) : 906 - 909
  • [2] On the difference equation yn+1 = α+βe-yn/γ+yn-1
    Ozturk, I.
    Bozkurt, F.
    Ozen, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 1387 - 1393
  • [3] Global asymptotic behavior of yn+1 = (pyn + yn-1)/(r + qyn + yn-1)
    Brett, A.
    Kulenovic, M. R. S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2007,
  • [4] Periodic solutions of the rational difference equation yn=yn-3+Yn-4/Yn-1
    Berenhaut, KS
    Dice, JE
    Foley, JD
    Iricanin, B
    Stevic, S
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (02) : 183 - 189
  • [5] On the recursive sequence yn+1=(p+yn-1)/(qyn+yn-1)
    Kosmala, WA
    Kulenovic, MRS
    Ladas, G
    Teixeira, CT
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (02) : 571 - 586
  • [6] Quantitative bounds for the recursive sequence yn+1 = A+yn/yn-k
    Berenhaut, Kenneth S.
    Foley, John D.
    Stevic, Stevo
    APPLIED MATHEMATICS LETTERS, 2006, 19 (09) : 983 - 989
  • [7] Qualitative behavior of a rational difference equation yn+1 = yn+yn-1/p+ynyn-1
    Xiao Qian
    Shi Qi-hong
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [8] On the asymptotics of the difference equation yn(1+yn-1,yn-k+1) = yn-k
    Berg, Lothar
    Stevic, Stevo
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (04) : 577 - 586
  • [9] On the rational difference equation yn+1=A+yn-k/yn
    Saleh, M
    Aloqeili, M
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) : 862 - 869
  • [10] Global stability of yn+1=A+yn/yn-k
    Abu-Saris, RM
    DeVault, R
    APPLIED MATHEMATICS LETTERS, 2003, 16 (02) : 173 - 178