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

Migda, Janusz: Asymptotic properties of solutions to difference equations of Emden-Fowler type. Electronic journal of qualitative theory of differential equations 77. pp. 1-17. (2019)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 77
Page Range: pp. 1-17
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.77
Uncontrolled Keywords: Differenciaegyenlet
Additional Information: Bibliogr.: p. 14-17. ; összefoglalás angol nyelven
Date Deposited: 2020. Jan. 27. 11:56
Last Modified: 2020. Jan. 27. 11:56
URI: http://acta.bibl.u-szeged.hu/id/eprint/64721

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