Continuity with respect to parameter of solutions of nonclassical multipoint boundary value problems in Sobolev spaces
For linear systems of ordinary differential equations of order $r\in\mathbb{N}$, we investigate multipoint linear boundary-value problems that depend on a parameter. We find conditions under which the solutions to these problems are continuous with respect to the parameter in the Sobolev spaces $W_p...
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| Date: | 2015 |
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| Keywords: | keywords |
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
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Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/124 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | For linear systems of ordinary differential equations of order $r\in\mathbb{N}$, we investigate multipoint linear boundary-value problems that depend on a parameter. We find conditions under which the solutions to these problems are continuous with respect to the parameter in the Sobolev spaces $W_p^{n+r}\left([a,b],\mathbb{C}^m\right)$, where $m$, $n+1 \in \mathbb{N}$, and $p\in[1,\infty)$. |
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