ABSTRACT
We study the nonoscillatory solutions of third-order nonlinear difference equations
∆ (pn∆ (rn∆xn))− qnf (xn+σ) = 0, (1)
where ∆ is the forward difference operator ∆xn = xn+1 − xn, (pn), (rn) and (qn) are sequences of positive real numbers for n ∈ N, σ ∈ {0, 1, 2} and f : R→ R is a continuous function such that f(u)u > 0 for u 6= 0.
