DOI: 10.7494/opmath.2006.26.3.507 ISSN: 1232-9274

Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations

Małgorzata Migda
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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 \(c\in R\).

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