On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions
For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection (characteristic projection). This allows one to introduce for the above systems...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106679 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 449-473. — Бібліогр.: 5 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862561655244718080 |
|---|---|
| author | Khrabustovsky, V.I. |
| author_facet | Khrabustovsky, V.I. |
| citation_txt | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 449-473. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection (characteristic projection). This allows one to introduce for the above systems the analogues of theWeyl functions and solutions, to establish for them the Weyl type inequalities which turn out to be well known in a number of special cases.
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| first_indexed | 2025-11-25T23:28:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106679 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-25T23:28:27Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Khrabustovsky, V.I. 2016-10-02T18:32:46Z 2016-10-02T18:32:46Z 2006 On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 449-473. — Бібліогр.: 5 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106679 For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection (characteristic projection). This allows one to introduce for the above systems the analogues of theWeyl functions and solutions, to establish for them the Weyl type inequalities which turn out to be well known in a number of special cases. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions Article published earlier |
| spellingShingle | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions Khrabustovsky, V.I. |
| title | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions |
| title_full | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions |
| title_fullStr | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions |
| title_full_unstemmed | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions |
| title_short | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions |
| title_sort | on the characteristic operators and projections and on the solutions of weyl type of dissipative and accumulative operator systems.iii. separated boundary conditions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106679 |
| work_keys_str_mv | AT khrabustovskyvi onthecharacteristicoperatorsandprojectionsandonthesolutionsofweyltypeofdissipativeandaccumulativeoperatorsystemsiiiseparatedboundaryconditions |