Continuity in the parameter for the solutions of one-dimensional boundary-value problems for differential equations of higher orders in Slobodetsky spaces
We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order $r \geq 2$ whose solutions belong to the Slobodetsky space $^{Ws+r}_p\bigl( (a, b),C_m\bigr),$ where $m \in N,\; s > 0$ and $p \in (1,\infty )$. We also establish...
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| Дата: | 2018 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1564 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of
order $r \geq 2$ whose solutions belong to the Slobodetsky space $^{Ws+r}_p\bigl(
(a, b),C_m\bigr),$
where $m \in N,\; s > 0$ and $p \in (1,\infty )$.
We also establish sufficient conditions under which the solutions of these problems are continuous functions of the parameter
in the Slobodetsky space $W^{s+r}_p\bigl(
(a, b),C_m\bigr)$. |
|---|