Asymptotic behavior in neutral difference equations with negative coefficients and several delay arguments
Abstract
In this paper, we study the asymptotic behavior of the solutions of a neutral type difference equation of the form
Δ[x(n)+∑_{j=1}^{w}q_{j}(n)x(τ_{j}(n))]-p(n)x(σ(n))=0, n≥0
where (-p(n))_{n≥0} is a sequence of negative real numbers such that p(n)≥p, p∈ℝ₊, τ_{j}(n), j=1,...,w are general retarded arguments, σ(n) is a general deviated argument, (q_{j}(n))_{n≥0}, j=1,...,w are sequences of real numbers, and Δ denotes the forward difference operator Δx(n)=x(n+1)-x(n).
Copyright © 2012 George E Chatzarakis, George N Miliaras. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
G. E. Chatzarakis, G. N. Miliaras, Asymptotic behavior in neutral difference equations with negative coefficients and several delay arguments, J. Math. Comput. Sci. 2 (2012), 360–373.
BibTeX
@article{Chatzarakis2012,
author = {Chatzarakis, George E and Miliaras, George N},
title = {Asymptotic behavior in neutral difference equations with negative coefficients and several delay arguments},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {360--373},
doi = {}
}