Abstract :
This paper is concerned with the oscillation of solutions of higher order nonlinear delay difference equations with forcing terms of the form δnx(t)+f(t,x(t),x(σ(t)))=h(t), tεI={0, 1, …},
where Δ is the forward difference operator defined by Δx(t) = x(t + 1) − x(t) and Δmx(t) = Δ(Δm−1x(t)), m> 1. A necessary and sufficient condition is established under which every solution x(t) is oscillatory when n is even, and is either oscillatory or strongly monotone when n is odd. A sufficient condition for the oscillation of solutions of neutral type delay difference equations is also obtained.
