| Автор | Krause, Ulrich |
| Автор | Pituk, Mihály |
| Дата выпуска | 2004 |
| dc.description | Sufficient conditions are given under which the higher order difference equation x <sub> n+1</sub>= f(x <sub>n</sub>,x<sub> n-1</sub>,...,x<sub>n-k</sub> ), n=0,1,2,... generates an order preserving discrete dynamical system with respect to the discrete exponential ordering. It is shown that under the above monotonicity assumption the boundedness of all solutions as well as the local and global stability of an equilibrium hold if and only if they hold for the much simpler first order equation x <sub> n+1</sub>=h(x <sub>n</sub> ), where h(x)=f(x,x,…,x). As an application, a second order nonlinear difference equation from macroeconomics and a discrete analogue of a model of haematopoiesis are discussed. |
| Формат | application.pdf |
| Издатель | Gordon and BreachReading, UK |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Higher order difference equations |
| Тема | Order preserving map |
| Тема | Discrete exponential ordering |
| Тема | Boundedness |
| Тема | Local stability |
| Тема | Global asymptotic stability |
| Тема | 39A10 |
| Тема | 39A11 |
| Тема | 39A12 |
| Название | Boundedness and Stability for Higher Order Difference Equations<sup>*</sup> |
| Тип | research-article |
| DOI | 10.1080/1023619031000115377 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 10 |
| Первая страница | 343 |
| Последняя страница | 356 |
| Аффилиация | Krause, Ulrich; Fachbereich Mathematik und Informatik, Universität Bremen |
| Аффилиация | Pituk, Mihály; Department of Mathematics and Computing, University of Veszprém |
| Выпуск | 4 |
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