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Global Behavior of Two Families of Nonlinear Symmetric Difference Equations

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  • Wanping Liu
  • Xiaofan Yang
  • Luxing Yang

Abstract

We mainly investigate the global asymptotic stability and exponential convergence of positive solutions to two families of higher-order difference equations, one of which was recently studied in Stević's paper (2010). A new concise proof is given to a quite recent result by Stević and analogous parallel result of the other inverse equation, which extend related results of Aloqeili (2009), Berenhaut and Stević (2007), and Liao et al. (2009).

Suggested Citation

  • Wanping Liu & Xiaofan Yang & Luxing Yang, 2010. "Global Behavior of Two Families of Nonlinear Symmetric Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-15, August.
    • Handle: RePEc:hin:jnddns:367492
    DOI: 10.1155/2010/367492
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