| Автор | Scherenberger, Bjoern |
| Дата выпуска | 2000 |
| dc.description | This paper deals with the global asymptotic behavior ef the nonlinear and nonautonomous dfference equaiion of nth order given in the title. The analysis is carried out by using methods from the theory of positive discrete dynamical systems. In particular, the recursive sequence considered defines self-mappings of a cone which are contractive with respect to the part-metric. |
| Формат | application.pdf |
| Издатель | Gordon and Breach Science Publishers |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Nonlinear difference equations |
| Тема | Positive discrete dynamical systems |
| Тема | Part-metric |
| Тема | Non-autonomous iteration |
| Тема | 39A10 |
| Тема | 39A11 |
| Название | On the behavior of the recursive sequence |
| Тип | research-article |
| DOI | 10.1080/10236190008808248 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 6 |
| Первая страница | 625 |
| Последняя страница | 639 |
| Аффилиация | Scherenberger, Bjoern; Berliner Allee |
| Выпуск | 5 |
| Библиографическая ссылка | Devault, R., Ladas, G. and Schultz, S.W. 1996. Necessary and sufficient conditions for the boundednes of . Preprint |
| Библиографическая ссылка | Devault, R. and Ladas, G. “On the recursive sequence advances in difference equations”. In Proceedings of the Second international Conference on Difference Equations, Amsterdam: Gordon and Breach. |
| Библиографическая ссылка | Fujimoto, T. and Krause, U. 1988. Asymptotic properties for inhomogenous iterations of nonlinear operators. SIAM J.Math.Appl, 19: 841–853. |
| Библиографическая ссылка | Krause, U. 1995. Stability trichotomy, path stability, and relative stability for positive nonlinear difference equations of higher order. J.Diff.Equ.Appl, 1: 323–346. |
| Библиографическая ссылка | Krause, U. and Ranft, P. 1992. A limit set trichotomy for monotone nonlinear dynamical systems. Norlin.Anal, 20(4): 375–392. |
| Библиографическая ссылка | Scherenberger, B. 1998. Das globale asymptotische Verhalten nichtlinearer Differenzengleichungen vom verallgemeinerten Fibonacci-Typ. Diploma thesis, |
| Библиографическая ссылка | Thompson, A.C. 1963. On certain contraction mappings in partially ordered vector spaces. Proc. Am. Math. Soc, 14: 438–443. |
