Asymptotic Behavior of Solutions for Neutral Difference Equations

The boundedness and asymptotic behavior of all solutions of the neutral delay difference equation of the formΔ(xn−cnxn−m)+pnxn−k−qnxn−l=0,  n=0,1,2,…,Δ(xn−cnxn−m)+pnxn−k−qnxn−l=0,  n=0,1,2,…,are investigated, where k,l,m are positive integers, {cn}, {qn} and {pn} are three sequences of real numbers. The obtained sufficient conditions extend and improve the existing results in the literature.