| Автор | Su, You-Hui |
| Автор | Li § , Wan-Tong |
| Автор | Stević, Stevo |
| Дата выпуска | 2005 |
| dc.description | In this paper, we study the global attractivity, the invariant intervals, the periodic and oscillatory character of the difference equationwhere a, b, A, B are positive real numbers, k≥1 is a positive integer, and the initial conditions x <sub>−k </sub>,…,x <sub>−1</sub>,x <sub>0</sub> are nonnegative real numbers such that x <sub>−k</sub> or x <sub>0</sub> or both are positive real numbers. We show that the positive equilibrium of the difference equation is a global attractor. As a corollary, our main result confirms a conjecture proposed by Kulenović et al. (2003) [The dynamics of facts and conjectures, Computational Mathematics Applications, 45, 1087–1099].Supported by the NNSF of China (10171040), the NSF of Gansu Province of China (ZS011-A25-007-Z) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of Ministry of Education of China. |
| Формат | application.pdf |
| Издатель | Taylor & Francis GroupAbingdon, UK |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Difference equation |
| Тема | Invariant interval |
| Тема | Global attractor |
| Тема | Globally asymptotically stable |
| Тема | Oscillatory |
| Тема | 39A10 |
| Название | Dynamics of a higher order nonlinear rational difference equation |
| Тип | research-article |
| DOI | 10.1080/10236190512331319352 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 11 |
| Первая страница | 133 |
| Последняя страница | 150 |
| Аффилиация | Su, You-Hui; Department of Mathematics, Hexi University; Department of Mathematics, Lanzhou University Lanzhou |
| Аффилиация | Li § , Wan-Tong; Department of Mathematics, Lanzhou University Lanzhou |
| Аффилиация | Stević, Stevo; Mathematical Institute of Serbian Academy of Science |
| Выпуск | 2 |
