Migda, Janusz Asymptotic properties of solutions of higher order difference equations. (English) Zbl 1224.39021 Math. Bohem. 135, No. 1, 29-39 (2010). Summary: Asymptotic properties of solutions of the difference equation \( \Delta ^m x_n=a_n\varphi (x_{\tau _1(n)},\dots ,x_{\tau _k(n)})+b_n \) are studied. Conditions under which every (every bounded) solution of the equation \(\Delta ^{m}y_{n}=b_{n}\) is asymptotically equivalent to some solution of the above equation are obtained. Cited in 1 Document MSC: 39A22 Growth, boundedness, comparison of solutions to difference equations 39A10 Additive difference equations Keywords:difference equation; asymptotic behavior; bounded solution PDF BibTeX XML Cite \textit{J. Migda}, Math. Bohem. 135, No. 1, 29--39 (2010; Zbl 1224.39021) Full Text: EMIS EuDML