Abstract
The authors investigate the global behavior of the solutions of the difference equation
x(n+1) = ax(n-1)x(n-k)/bx(n-p)+cx(n-q), n = 0, 1, ... ,
where the initial conditions x(-r), x(-r+1), x(-r+2), ... , x(0) are arbitrary positive real numbers, r = max{l, k, p, q} is a nonnegative integer and a, b, c are positive constants. Some special cases of this equation are also studied in this paper.