Asymptotic Behavior of Solutions for Neutral Difference Equations

Abstract

The boundedness and asymptotic behavior of all solutions of the neutral delay difference equation of the form Δ ( x n − c n x n − m ) + p n x n − k − q n x n − l = 0 , n = 0,1,2 , … , are investigated, where k,l,m are positive integers, { c n }, { q n } and { p n } are three sequences of real numbers. The obtained sufficient conditions extend and improve the existing results in the literature.