<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form</p><p>where τj (n), j = 1, . . . , w are general retarded arguments, σ(n) is a general deviated argument, [###] is a sequence of positive real numbers such that p(n) ≥ p, p ∈ R+, and Δ denotes the forward difference operator Δx(n) = x(n + 1) − x(n).</p></abstract>

In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the formwhere τj (n), j = 1, . . . , w are general retarded arguments, σ(n) is a general deviated argument, [###] is a sequence of positive real numbers such that p(n) ≥ p, p ∈ R+, and Δ denotes the forward difference operator Δx(n) = x(n + 1) − x(n).

Convergence of the Solutions for a Neutral Difference Equation with Negative Coefficients

Department of Electrical Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121, N. Heraklio, Athens, GREECE

American University of Athens, Andrianiou 9, N. Psychico, 11525, Athens, GREECE

Tatra Mountains Mathematical Publications

In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the formwhere τj (n), j = 1, . . . , w are...

Convergence of the Solutions for a Neutral Difference Equation with Negative Coefficients

Published Online: Jul 04, 2013

Page range: 31 - 43

DOI: https://doi.org/10.2478/tmmp-2013-0003

This content is open access.