| Автор | Berenhaut, Kenneth S. |
| Автор | Vish, Nathaniel G. |
| Дата выпуска | 2011 |
| dc.description | This paper studies convolution type linear difference equations with coefficients satisfying some monotonicity properties. Methods from renewal theory are employed to obtain easily verified conditions for asymptotic stability of the zero solution, in terms of the coefficient sequence. Explicit bounds and rates of convergence are also considered, and an application to norms of matrix inverses is included. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | difference equations |
| Тема | convolution |
| Тема | asymptotic stability |
| Тема | renewal sequences |
| Тема | exponential convergence |
| Тема | explicit bounds |
| Тема | matrix inequalities |
| Тема | 39A10 |
| Тема | 39A11 |
| Тема | 60K05 |
| Тема | 15A09 |
| Тема | 15A57 |
| Название | Equations of convolution type with monotone coefficients |
| Тип | research-article |
| DOI | 10.1080/10236190903158974 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 17 |
| Первая страница | 555 |
| Последняя страница | 566 |
| Аффилиация | Berenhaut, Kenneth S.; Department of Mathematics, Wake Forest University |
| Аффилиация | Vish, Nathaniel G.; Department of Mathematics, Wake Forest University |
| Выпуск | 4 |
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