Bounded solutions of a difference equation in Banach space with input data in subspaces
UDC 517.929.2 We study the problem of existence and uniqueness of a bounded solution to a difference equation of the first order with a constant operator coefficient in a Banach space. For the case where the initial condition and input sequence are in some subspaces, necessary and sufficient conditi...
Збережено в:
| Дата: | 2021 |
|---|---|
| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2021
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6692 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.929.2
We study the problem of existence and uniqueness of a bounded solution to a difference equation of the first order with a constant operator coefficient in a Banach space. For the case where the initial condition and input sequence are in some subspaces, necessary and sufficient conditions are obtained. These results are applied to difference equations with a jump of operator coefficient and difference equations of higher orders. |
|---|---|
| DOI: | 10.37863/umzh.v73i11.6692 |