Migda, Małgorzata Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations. (English) Zbl 1131.39008 Opusc. Math. 26, No. 3, 507-514 (2006). 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 \(c\in R\). Cited in 1 Document MSC: 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations Keywords:neutral difference equation; asymptotic behavior; nonoscillatory solution PDF BibTeX XML Cite \textit{M. Migda}, Opusc. Math. 26, No. 3, 507--514 (2006; Zbl 1131.39008)