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Asymptotic properties of solutions of the discrete analogue of the Emden-Fowler equation. (English) Zbl 1182.39014

Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems. Proceedings of the 11th international conference on difference equations and applications (ICDEA 06), Kyoto, Japan, July 24–28, 2006. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-49-5/hbk). Advanced Studies in Pure Mathematics 53, 23-32 (2009).
Summary: 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 [J. Diblík and I. Růžičková, in: Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific. 35–49 (2005; Zbl 1094.39007)]; 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.
For the entire collection see [Zbl 1170.39300].

MSC:

39A30 Stability theory for difference equations

Citations:

Zbl 1094.39007
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