Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation

Mustafa RS Kulenović, Esmir Pilav, Enesa Silić
2014 Advances in Difference Equations  
We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation x n+1 = βx n x n-1 +γ x 2 n-1 +δx n Bx n x n-1 +Cx 2 n-1 +Dx n 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 x 0 are arbitrary nonnegative numbers such that Bx n x n-1 + Cx 2 n-1 + Dx n > 0 for all n ≥ 0. MSC: Primary 39A10; 39A11; secondary 39A30
doi:10.1186/1687-1847-2014-68 fatcat:ewr5c6nnybdwtaieytjmqcj7ji