Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type

This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation Δ2xn=∑i=1mpixn−ki+f(n,xn−l1,…,xn−ls),n=0,1,2,…. In addition, we generalize and improve the existing results, and then give some examples of applications.