Asymptotic behavior of solutions for neutral difference equations
The boundedness and asymptotic behavior of all solutions of the neutral delay difference equation of the form Delta 1(x(n) - C(n)x(n-m)) + P(n)x(n-k) - q(n)x(n-1) (=) 0, n = 0, 1, 2,..., are investigated, where k, l,m axe positive integers, {c}, {q(n)} and {p(n)} are three sequences of real numbers. The obtained sufficient conditions extend and improve the existing results in the literature. (c) 2006 Elsevier Ltd. All rights reserved.
asymptotic behavior boundedness neutral delay difference equation