In this paper the solutions of the following difference equation is examined, x(n 1)=x(n (2k 1)) /1 x(n-k) (1) where the initial conditions are positive real numbers.
The solution of the difference equation (Formula presented.),..., where x−(4k+3), x−(4k+2),..., x−1, x0 ∈ (0, ∞) and k = 0, 1,..., is studied.
The behaviour of the solutions of the following system of difference equations is examined. Where the initial conditions are positive real numbers.