| Автор | Berenhaut, Kenneth S. |
| Автор | Stević, Stevo |
| Дата выпуска | 2006 |
| dc.description | This paper studies the boundedness, global asymptotic stability and periodicity for solutions of the equationwith p, A ∈ (0, ∞), p ≠ 1 and x <sub>− 2</sub>, x <sub>− 1</sub> ∈ (0, ∞). It is shown that: (a) all solutions converge to the unique equilibrium, , whenever p ≤ min{1, (A+1)/2}; (b) all solutions converge to period two solutions whenever (A+1)/2 < p < 1; and (c) there exist unbounded solutions whenever p>1. These results complement those for the case p = 1 in A.M. Amleh et al., On the recursive sequence Journal of Mathematical Analysis and Applications 233 (1999), 790–798. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Rational difference equation |
| Тема | Stability |
| Тема | Boundedness |
| Тема | Period two solution |
| Тема | 39A10 |
| Тема | 39A11 |
| Название | The behaviour of the positive solutions of the difference equation |
| Тип | research-article |
| DOI | 10.1080/10236190600836377 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 12 |
| Первая страница | 909 |
| Последняя страница | 918 |
| Аффилиация | Berenhaut, Kenneth S.; Department of Mathematics, Wake Forest University |
| Аффилиация | Stević, Stevo; Mathematical Institute of the Serbian Academy of Science |
| Выпуск | 9 |
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