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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