Asymptotic properties of solutions to difference equations of Emden-Fowler type

We study the higher order difference equations of the following form \[ \Delta^m x_n=a_nf(x_{\sigma(n)})+b_n. \] We are interested in the asymptotic behavior of solutions $x$ of the above equation. Assuming $f$ is a power type function and $\Delta^m y_n=b_n$, we present sufficient conditions th...

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Bibliographic Details
Main Author: Janusz Migda
Format: Article
Language:English
Published: University of Szeged 2019-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7921