| Автор | Liz, Eduardo |
| Дата выпуска | 2011 |
| dc.description | We address the stability properties in a non-autonomous difference equationwhere f is continuous, and the zero solution is assumed to be the unique equilibrium. We focus our discussion on two techniques motivated by stability results for functional differential equations (FDEs) that proved recently to be useful in the frame of difference equations too. The first one involves the use of discrete inequalities and monotonicity arguments, and it is inspired by the so-called Halanay inequality; the second one is based on the well-known 3/2 stability results for FDEs. We give further insight into the simple ideas that are behind these methods, prove some new results and show applications and open problems. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | difference equations |
| Тема | exponential stability |
| Тема | asymptotic stability |
| Тема | discrete Halanay-type inequalities |
| Тема | monotone maps |
| Тема | 39A10 |
| Тема | 39A11 |
| Тема | 47H07 |
| Название | Stability of non-autonomous difference equations: simple ideas leading to useful results |
| Тип | research-article |
| DOI | 10.1080/10236198.2010.549007 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 17 |
| Первая страница | 203 |
| Последняя страница | 220 |
| Аффилиация | Liz, Eduardo; Departamento de Matemática Aplicada II, E.T.S.E. Telecomunicación, Universidade de Vigo |
| Выпуск | 2 |
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