We consider the (nonlinear) difference equation [GRAPHICS] where a and
b(k) (k = 1, 2, ..., m) are nonnegative numbers with B = SIGMA(k=1)mb
(k) > 0, and we are interested in whether all positive solutions are a
ttracted by the positive equilibrium L = (a/2) + square-root (a/2)2 B.