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Global Character of a Six‐Dimensional Nonlinear System of Difference Equations

Author

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  • Mehmet Gümüş
  • Yüksel Soykan

Abstract

The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: un+1=αun-1/β+γvn-2p, vn+1=α1vn-1/β1+γ1un-2p, n = 0,1, …, where the parameters α, β, γ, α1, β1, γ1, p and the initial values u−i, v−i for i = 0,1, 2 are positive real numbers.

Suggested Citation

  • Mehmet Gümüş & Yüksel Soykan, 2016. "Global Character of a Six‐Dimensional Nonlinear System of Difference Equations," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:6842521
    DOI: 10.1155/2016/6842521
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    References listed on IDEAS

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    1. Ibrahim Yalcinkaya, 2008. "On the Global Asymptotic Stability of a Second-Order System of Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-12, November.
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