Asymptotic properties of solutions of the discrete analogue of the Emden-Fowler equation

Diblík, Josef; Hlavičková, Irena

doi:10.2969/aspm/05310023

VOL. 53 | 2009 Asymptotic properties of solutions of the discrete analogue of the Emden-Fowler equation

Chapter Author(s) Josef Diblík, Irena Hlavičková

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose

Adv. Stud. Pure Math., 2009: 23-32 (2009) DOI: 10.2969/aspm/05310023

Abstract

This contribution investigates the discrete analogue of the Emden-Fowler differential equation. The main attention is paid to the asymptotic behavior of solution of this equation. This work takes up again the research started in paper [4], where the authors have already presented some asymptotic estimates of the solution of the considered equation. The aim of this paper is to improve these estimates.