Limited and periodical solutions of one differential equation and its stochastic analog in the Banach space
Theorems are proved on the existence and uniqueness of bounded and periodic solutions of a linear difference equation with operator coefficients in Banach space. For the stochastic analogue of the investigated equation, the existence and uniqueness are proved of solutions of a special form, periodic...
Збережено в:
| Дата: | 1991 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1991
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9303 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | Theorems are proved on the existence and uniqueness of bounded and periodic solutions of a linear difference equation with operator coefficients in Banach space. For the stochastic analogue of the investigated equation, the existence and uniqueness are proved of solutions of a special form, periodic and stationary in the narrow sense. |
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