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.
Eq(8.1) is a linear difference equation and can be solved explicitly. Eq(8.2) by the change of the variables
xn = yn + β B ,
is reduced to a (2, 2)-type equation of the form of Eq(6.4) (see Section 6.5), namely,
yn+1 = (α+ βγB ) + γyn−1
β +Byn , n = 0, 1, . . . .
