On the oscillation of second-order perturbed nonlinear difference equations

In this paper, we will use the Riccati transformation technique to establish some new oscillation criteria for the second-order perturbed nonlinear difference equation of the general form Delta(a(n-1)(Delta x(n-1))(gamma)) + F(n, x(n)) = G(n, x(n), Delta x(n-1)), n >= 1. Our results complement and improve some well known results in the literature. Some examples are given to illustrate our main results.