Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Growth theorems for homogeneous second-order difference equations | Journal: | ANZIAM Journal | Volume: | 43 | Issue: | 4 | First page: | 559 | Last page: | 566 | Issue Date: | 1-Jan-2002 | Rank: | M23 | ISSN: | 1446-1811 | DOI: | 10.1017/S1446181100012141 | Abstract: | In this paper we investigate the boundedness and asymptotic behaviour of the solutions of a class of homogeneous second-order difference equations with a single non-constant coefficient. These equations model, for example, the amplitude of oscillation of the weights on a discretely weighted vibrating string. We present several growth theorems. Two examples are also given. |
Publisher: | Australian Mathematical Society | Project: | Research Fund for the Doctoral Programme of Higher Education of P.R. China (No. 20020532014) |
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