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We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation
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where the parameters β, γ, δ, B, C, D are nonnegative numbers which satisfy B + C + D > 0 and the initial conditions x-1 and x0 are arbitrary nonnegative numbers such that Bxnxn-1 + Cx2n-1 + Dxn > 0 for all n ≥ 0.
Kulenovic et al.: Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation. Advances in Difference Equations 2014, 2014:68
Available at: https://doi.org/10.1186/1687-1847-2014-68
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