@Article{Migda2006,
author = "Migda, Małgorzata",
title = "Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations",
journal = "Opuscula Math.",
year = "2006",
volume = "26",
number = "3",
pages = "507--514",
doi = "http://dx.doi.org/10.7494/OpMath.2006.26.3.507",
url = "http://dx.doi.org/10.7494/OpMath.2006.26.3.507",
abstract = "In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above equation have the property \(x_n = cn^{m-1}+o(n^{m-1})\) for some \(c\in R\).",
keywords = "neutral difference equation, asymptotic behavior, nonoscillatory solution",
issn = "1232-9274"
}