| Автор | Furumochi, Tetsuo |
| Автор | Murakami, Satoru |
| Автор | Nagabuchi, Yutaka |
| Дата выпуска | 2004 |
| dc.description | Some stability properties for the zero solution of linear Volterra difference equations on a Banach space are studied in connection with the summability of the fundamental solution and the invertibility of the characteristic operator. A key is to extend Wiener's lemma for absolutely convergent scalar sequences to summable sequences of bounded linear operators on a Banach space by applying certain result in commutative Banach algebras. |
| Формат | application.pdf |
| Издатель | Taylor & Francis GroupAbingdon, UK |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Volterra difference equations |
| Тема | Wiener's lemma |
| Тема | Stabilities |
| Тема | Piecewise continuous delays |
| Тема | Solution operator |
| Тема | Z-transform |
| Тема | Primary 39A10, 39A11 |
| Тема | Secondary 34K20, 35B35 |
| Название | A Generalization of Wiener's Lemma and its Application to Volterra Difference Equations on a Banach Space |
| Тип | research-article |
| DOI | 10.1080/10236190410001652748 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 10 |
| Первая страница | 1201 |
| Последняя страница | 1214 |
| Аффилиация | Furumochi, Tetsuo; Department of Mathematics, Shimane University |
| Аффилиация | Murakami, Satoru; Department of Applied Mathematics, Okayama University of Science |
| Аффилиация | Nagabuchi, Yutaka; Department of Systems and Control Engineering, Anan National College of Technology |
| Выпуск | 13-15 |
