On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function
The families of maximal and minimal relations generated by a differential expression with bounded operator coe±cients and by a Nevanlinna operator function are defined. These families are proved to be holomorphic. In the case of finite interval, the space of boundary values is constructed. In terms...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106668 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 115-140. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862687191381049344 |
|---|---|
| author | Bruk, V.M. |
| author_facet | Bruk, V.M. |
| citation_txt | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 115-140. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The families of maximal and minimal relations generated by a differential expression with bounded operator coe±cients and by a Nevanlinna operator function are defined. These families are proved to be holomorphic. In the case of finite interval, the space of boundary values is constructed. In terms of boundary conditions, a criterion for the restrictions of maximal relations to be continuously invertible and a criterion for the families of these restrictions to be holomorphic are given. The operators inverse to these restrictions are stated to be integral operators. By using the results obtained, the existence of the characteristic operator on the finite interval and the axis is proved.
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| first_indexed | 2025-12-07T16:05:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106668 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T16:05:38Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bruk, V.M. 2016-10-01T19:26:26Z 2016-10-01T19:26:26Z 2011 On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 115-140. — Бібліогр.: 25 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106668 The families of maximal and minimal relations generated by a differential expression with bounded operator coe±cients and by a Nevanlinna operator function are defined. These families are proved to be holomorphic. In the case of finite interval, the space of boundary values is constructed. In terms of boundary conditions, a criterion for the restrictions of maximal relations to be continuously invertible and a criterion for the families of these restrictions to be holomorphic are given. The operators inverse to these restrictions are stated to be integral operators. By using the results obtained, the existence of the characteristic operator on the finite interval and the axis is proved. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function Article published earlier |
| spellingShingle | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function Bruk, V.M. |
| title | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function |
| title_full | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function |
| title_fullStr | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function |
| title_full_unstemmed | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function |
| title_short | On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function |
| title_sort | on linear relations generated by a direrential expression and by a nevanlinna operator function |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106668 |
| work_keys_str_mv | AT brukvm onlinearrelationsgeneratedbyadirerentialexpressionandbyanevanlinnaoperatorfunction |