LI Xian-yi. Boundedness and Persistence and Global Asymptotic Stability for a Class of Delay Difference Equations With Higher Order[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1188-1194.
Citation: LI Xian-yi. Boundedness and Persistence and Global Asymptotic Stability for a Class of Delay Difference Equations With Higher Order[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1188-1194.

Boundedness and Persistence and Global Asymptotic Stability for a Class of Delay Difference Equations With Higher Order

  • Received Date: 2001-03-27
  • Rev Recd Date: 2002-06-18
  • Publish Date: 2002-11-15
  • Some sufficient conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained,which partly solve G. Ladas.two open problems and extend some known results.
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  • [1]
    De Vault R, Ladas G, Schultz S W. On the recursive sequence xn+1=(A/xnp)+B/(xn-1q)[A].In: Proceedings of the Second International Conference on Difference Equations[C]. Basel: Gorden and Breach Science Publishers,1996.
    [2]
    Philos Ch G, Purnaras I K, Sficas Y G. Global attractivity in a nonlinear difference equation[J]. Appl Math Comput,1994,62:249-258.
    [3]
    Ladas G. Open problems and conjectures[A]. In: Proceedings of the First International Conference on Difference Equations[C]. Basel: Gorden and Breach Science Publishers,1995,337-349.
    [4]
    Arciero M, Ladas G, Schultz S W. Some open problems about the solutions of the delay difference equation xn+1=A/(xn2)+1/(xn-kp)[J]. Proceedings of the Georgian Academy of Science Mathematics, 1993,1:257-262.
    [5]
    Brand L. A sequence defined by a difference equation[J]. Amer Math Monthly,1995,62:489-492.
    [6]
    De Vault R, Kocic V L, Ladas G. Global stability of a recursive sequence[J]. Dynamics Systems and Applications,1992,1:13-21.
    [7]
    Ladas G. Open problems and conjectures[A]. In: Proceedings of the First International Conference on Differnce Equations[C].Basel:Gorden and Breach Science Publishers,1995,337-349.
    [8]
    李先义,金银来. 对G.Ladas的一个Open问题的解答[J]. 数学杂志,2002,22(1):50-52.
    [9]
    李先义. 一类非线性时滞差分方程解的若干性质[J]. 应用数学,2000,13(1)::27-30.
    [10]
    Kocic V L, Ladas G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications[M]. Dordrect: Kluwer Academic Publishers,1993.
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