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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