Oscillatory and asymptotic behavior of higher order difference equations

This paper is concerned with the oscillation of solutions of neutral difference equation Δ[a(t)Δn−1(x(t)+p(t)x(r(t)))] + F(t,x(σ(t))) = 0, t ϵ I, and the asymptotic behavior of solutions of delay difference equation Δnx(t) + F(t, x(g(t))) = h(t), tϵ I, where I is the discrete set {0, 1, 2,…} and Δ is the forward difference operator Δx(t) = x(t+1)−x(t).