Authors: | Berenhaut, Kenneth Goedhart, Eva Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Explicit bounds for third-order difference equations | Journal: | ANZIAM Journal / Australian and New Zealand Industrial and Applied Mathematics | Volume: | 47 | Issue: | 3 | First page: | 359 | Last page: | 366 | Issue Date: | 1-Jan-2006 | ISSN: | 1446-1811 | DOI: | 10.1017/S1446181100009883 | Abstract: | This paper gives explicit, applicable bounds for solutions of a wide class of third-order difference equations with nonconstant coefficients. The techniques used are readily adaptable for higher-order equations. The results extend recent work of the authors for second-order equations. |
Keywords: | Applicable bounds | Explicit bounds | Growth rates | Nonconstant coefficients | Third-order linear difference equations | Publisher: | Cambridge University Press |
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