Spectral properties of nonself-adjoint nonlocal boundary-value problems for the operator of differentiation of even order
We study spectral properties of an essentially nonself-adjoint problem generated by nonlocal multipoint conditions for the operator of differentiation of order 2n and analyze the cases of regular and irregular Birkhoff boundary conditions. A system of root functions of the problem and elements of bi...
Збережено в:
| 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/1592 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We study spectral properties of an essentially nonself-adjoint problem generated by nonlocal multipoint conditions for the
operator of differentiation of order 2n and analyze the cases of regular and irregular Birkhoff boundary conditions. A
system of root functions of the problem and elements of biorthogonal systems are constructed. We also establish sufficient
conditions under which these systems are complete and form a Riesz basis under certain additional assumptions.
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