On a Higher-Order Difference Equation

On a Higher-Order Nonlinear Difference Equation

and Applied Analysis 3 After k steps we obtain the following formula xn A ⎛ ⎝ A x r/p n−k ⎛ ⎝ A x r/p2 n−k x r/p n−k−1 ⎛ ⎝ A x r/p3 n−k x r/p2 n−k−1x r/p n−k−2

On a Higher-Order Difference Equation

On a Conjecture for a Higher-Order Rational Difference Equation

On the Dynamics of a Higher-Order Difference Equation

This paper deals with the investigation of the following more general rational difference equation: yn 1 αyn/ β γ ∑k i 0 y p n− 2i 1 ∏k i 0yn− 2i 1 , n 0, 1, 2, . . . ,where α, β, γ, p ∈ 0,∞ with the initial conditions x0, x−1, . . . , x−2k, x−2k−1 ∈ 0,∞ . We investigate the existence of the equilibrium points of the considered equation and then study their local and global stability. Also, som...

On the global attractivity of difference equation of higher order

where a, b, c and d ∈ (0,∞) with the initial values x−p, x−p+1, ..., x−1 and x0 ∈ (0,∞), where p is a positive integer. Here, we recall some notations and results which will be useful in our investigation. Let I be some interval of real numbers and let F : I → I be a continuously differentiable function. Then for every set of initial values x−k, x−k+1, ..., x0 ∈ I, the difference equation (1.2)...