ABSTRACT
Consider the third-order rational difference equation
xn+1 = α+ βxn + γxn−1 + δxn−2 A+Bxn + Cxn−1 +Dxn−2
, n = 0, 1, . . . (2.0.1)
with nonnegative parameters α, β, γ, δ, A,B,C,D and with arbitrary nonnegative initial conditions x−2, x−1, x0, such that the denominator is always positive.
