Fundamental solutions of boundary problems and resolvents of differential operators
The main objects of our considerations are differential operators generated by a formally selfadjoint differential expression of an even order. The coefficients of this expression are operator valued functions defined on the interval [0, bi (b ≤ ∞) with values in the set of all linear bounded operat...
Saved in:
| Published in: | Український математичний вісник |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124370 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Fundamental solutions of boundary problems and resolvents of differential operators / V. Mogilevskii // Український математичний вісник. — 2009. — Т. 6, № 4. — С. 492-530. — Бібліогр.: 20 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862711098126368768 |
|---|---|
| author | Mogilevskii, V. |
| author_facet | Mogilevskii, V. |
| citation_txt | Fundamental solutions of boundary problems and resolvents of differential operators / V. Mogilevskii // Український математичний вісник. — 2009. — Т. 6, № 4. — С. 492-530. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | The main objects of our considerations are differential operators generated by a formally selfadjoint differential expression of an even order. The coefficients of this expression are operator valued functions defined on the interval [0, bi (b ≤ ∞) with values in the set of all linear bounded operators in a separable Hilbert space H. Our approach is based on the concept of a decomposing D-boundary triplet, which enables to describe various properties of (regular and singular) differential operators immediately in terms of boundary conditions.
|
| first_indexed | 2025-12-07T17:29:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124370 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T17:29:08Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Mogilevskii, V. 2017-09-24T13:39:06Z 2017-09-24T13:39:06Z 2009 Fundamental solutions of boundary problems and resolvents of differential operators / V. Mogilevskii // Український математичний вісник. — 2009. — Т. 6, № 4. — С. 492-530. — Бібліогр.: 20 назв. — англ. 1810-3200 2000 MSC. 34B05, 34B27, 34B40, 47E05. https://nasplib.isofts.kiev.ua/handle/123456789/124370 The main objects of our considerations are differential operators generated by a formally selfadjoint differential expression of an even order. The coefficients of this expression are operator valued functions defined on the interval [0, bi (b ≤ ∞) with values in the set of all linear bounded operators in a separable Hilbert space H. Our approach is based on the concept of a decomposing D-boundary triplet, which enables to describe various properties of (regular and singular) differential operators immediately in terms of boundary conditions. en Інститут прикладної математики і механіки НАН України Український математичний вісник Fundamental solutions of boundary problems and resolvents of differential operators Article published earlier |
| spellingShingle | Fundamental solutions of boundary problems and resolvents of differential operators Mogilevskii, V. |
| title | Fundamental solutions of boundary problems and resolvents of differential operators |
| title_full | Fundamental solutions of boundary problems and resolvents of differential operators |
| title_fullStr | Fundamental solutions of boundary problems and resolvents of differential operators |
| title_full_unstemmed | Fundamental solutions of boundary problems and resolvents of differential operators |
| title_short | Fundamental solutions of boundary problems and resolvents of differential operators |
| title_sort | fundamental solutions of boundary problems and resolvents of differential operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124370 |
| work_keys_str_mv | AT mogilevskiiv fundamentalsolutionsofboundaryproblemsandresolventsofdifferentialoperators |