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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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Series: | Український математичний вісник |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124370 |
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| Summary: | 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. |
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