Conditions of existence of bounded solutions of differential equation in Banach space on the real axis
We consider an equation of the form $y''(t)- By(t) = f(t), \ t \in (-\infty, \infty)$, where $B$ is a positive operator in a Banach space. For the vector-valued function $f(t)$, we establish sufficient conditions under which a bounded solution to this equation exists and is unique.
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2016
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/209 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |