Abstract
In this paper, we study qualitative properties and periodic nature of the solutions of the difference equation
x(n+1) - ax(n-4) + bx(n-4)(2) /cx(n-4) | dx(n-9) , n - 0,1, .. ,
where the initial conditions x_9, x_8, x_7, x_o, x_5, x_4, x_3, x_2, x_i, xo are arbitrary positive real numbers and a, b, c, d are constants. Also we obtain the form of solutions of some special cases of this equation. (C) 2016 All rights reserved.