Abstract
We obtain some oscillation criteria for the solutions of the non-linear difference equation of the form △(rn 𝜓 (x𝑛 f(△xn)),+ qnφ(g(xn+1), rn+1𝜓 (xn+1) f (△xn+1)) = 0, n= 0, 1, 2, ..., where u φ(u, v) > 0 for all u ≠ 0, x g (x) > 0 and xf (x) > 0 for all x ≠ 0, 𝜓 (x) > 0 for all x ϵ 𝑅, $\left\{ {{r_n}} \right\}_{n = 0}^\infty $ is sequence of positive real numbers and $\left\{ {{q_n}} \right\}_{n = 0}^\infty$ is sequence of real values. The relevance of our theorems becomes clear due to a carefully selected examples.