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Dynamics of a Family of Nonlinear Delay Difference Equations

Author

Listed:
  • Qiuli He
  • Taixiang Sun
  • Hongjian Xi

Abstract

We study the global asymptotic stability of the following difference equation: where and with the initial values are positive, and with . We give sufficient conditions under which the unique positive equilibrium of that equation is globally asymptotically stable.

Suggested Citation

  • Qiuli He & Taixiang Sun & Hongjian Xi, 2013. "Dynamics of a Family of Nonlinear Delay Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-4, May.
    • Handle: RePEc:hin:jnlaaa:456530
    DOI: 10.1155/2013/456530
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    Cited by:

    1. Ricai Luo & Wu-Sheng Wang & Honglei Xu, 2014. "Estimation of Unknown Functions of Iterative Difference Inequalities and Their Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Wu-Sheng Wang & Shanhe Wu, 2013. "Some Difference Inequalities for Iterated Sums with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Zongyi Hou & Shanhe Wu & Wu-Sheng Wang, 2014. "Some Retarded Difference Inequalities of Product Form and Their Application," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Hongjian Xi & Taixiang Sun & Bin Qin & Hui Wu, 2014. "Global Behavior of the Difference Equation xn+1 = xn−1g(xn)," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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