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 @D^2x"[email protected]?i=1mp"ix"n"-"k"""i+f(n,x"n"-"l"""1,...,x"n"-"l"""s),n=0,1,2,.... In addition, we generalize and improve the existing results, and then give some examples of applications.