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...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124370 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Fundamental solutions of boundary problems and resolvents of differential operators |
| spellingShingle |
Fundamental solutions of boundary problems and resolvents of differential operators Mogilevskii, V. |
| title_short |
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_sort |
fundamental solutions of boundary problems and resolvents of differential operators |
| author |
Mogilevskii, V. |
| author_facet |
Mogilevskii, V. |
| publishDate |
2009 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124370 |
| 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. |
| work_keys_str_mv |
AT mogilevskiiv fundamentalsolutionsofboundaryproblemsandresolventsofdifferentialoperators |
| first_indexed |
2025-12-07T17:29:08Z |
| last_indexed |
2025-12-07T17:29:08Z |
| _version_ |
1850871432435728384 |