ABSTRACT

Please recall our classification convention in which all parameters that appear in these equations are positive, the initial conditions are nonnegative, and the denominators are always positive.

A+Bxn

This is the (3, 2)-type Eq(10.1) which by the change of variables

xn = A B yn

reduces to the difference equation

yn+1 = p+ qyn + ryn−1

1 + yn , n = 0, 1, . . . (10.4)

where p =

αB

, q = β , and r =

γ .