| Автор | Bastien, G. |
| Автор | Rogalski, M. |
| Дата выпуска | 2011 |
| dc.description | We study the global behaviour of the solutions of cyclic systems of q order k difference equations with q unknown sequences . If σ denotes the direct cyclic permutation , such a system is:for values of k and choices of f which correspond, first to cases of classical simple difference equations : order 2 or 3 extended Lyness' equations, order 2 generalized Lyness' type equations associated to conics, or to elliptic cubics or quartics; and then with f which becomes from other more general order k equations. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | dynamical systems |
| Тема | difference equations |
| Тема | Lyness' equations |
| Тема | periods |
| Тема | 37E |
| Тема | 39A10 |
| Тема | 58F20 |
| Название | Global behaviour of solutions of cyclic systems of q order 2 or 3 generalized Lyness' difference equations and of other more general equations of higher order |
| Тип | research-article |
| DOI | 10.1080/10236191003730555 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 17 |
| Первая страница | 1651 |
| Последняя страница | 1672 |
| Аффилиация | Bastien, G.; UPMC Univ Paris 06, UMR 7586: Institut de Mathématiques de Jussieu (Univ Paris 06 and CNRS); Equipe d'Analyse fonctionnelle |
| Аффилиация | Rogalski, M.; Equipe d'Analyse fonctionnelle; USTL Univ Lille 1, UMR 8524: Laboratoire Paul Painlevé (Univ Lille 1 and CNRS) |
| Выпуск | 11 |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2004. Global behaviour of the solutions of Lyness' difference equations. J. Difference Equ. Appl., 10: 977–1003. |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2004. On some algebraic difference equations in , related to families of conics or cubics: Generalization of the Lyness' sequences. J. Math. Anal. Appl., 300: 303–333. |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2005. On the algebraic difference equation in related to a family of elliptic quartics in the plane. Adv. Difference Equ., 2005(3): 227–261. |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2007. On the algebraic difference equations in , related to a family of elliptic quartics in the plane. J. Math. Anal. Appl., 326: 822–844. |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2007. Global behavior of the solutions of the k-lacunary order 2k Lyness' difference equation in , and of other more general equations. J. Difference Equ. Appl., 13(1): 79–88. |
| Библиографическая ссылка | Bastien, G. and Rogalski, M. 2009. Results and conjectures about order q Lyness' difference equation in , with a particular study of the case q = 3. Adv. Difference Equ., Article ID134749, 36 pages |
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