Limit theorems for solutions of multipoint boundary-value problems with a parameter in Sobolev spaces
UDC 517.927 We consider the most general class of multipoint boundary-value problems for systems of linear ordinary differential equations of an arbitrary order whose solutions belong to the given Sobolev space $W_p^{n+r},$ with $n\geq 0,$ $r\geq 1,$ and $1\leq p\leq \infty.$ &n...
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| Datum: | 2020 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6158 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.927
We consider the most general class of multipoint boundary-value problems for systems of linear ordinary differential equations of an arbitrary order whose solutions belong to the given Sobolev space $W_p^{n+r},$ with $n\geq 0,$ $r\geq 1,$ and $1\leq p\leq \infty.$  We establish constructive sufficient conditions under which the solutions of these problems are continuous with respect to the parameter $\varepsilon$ at $\varepsilon=0$ in the space $W_p^{n+r}.$ |
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| DOI: | 10.37863/umzh.v72i8.6158 |