01239nas a2200205 i 4500 acta64721 20260224081030.0 200127s2019 hu o 000 eng d 1417-3875 10.14232/ejqtde.2019.1.77 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Migda Janusz Asymptotic properties of solutions to difference equations of Emden-Fowler type [elektronikus dokumentum] / Migda Janusz 2019 1-17 Electronic journal of qualitative theory of differential equations We study the higher order difference equations of the following form mxn = an f(xσ(n) ) + bn. We are interested in the asymptotic behavior of solutions x of the above equation. Assuming f is a power type function and ∆ myn = bn, we present sufficient conditions that guarantee the existence of a solution x such that xn = yn + o(n s where s ≤ 0 is fixed. We establish also conditions under which for a given solution x there exists a sequence y such that ∆ myn = bn and x has the above asymptotic behavior. Differenciaegyenlet http://acta.bibl.u-szeged.hu/64721/1/ejqtde_2019_077.pdf Dokumentum-elérés