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Linear relations generated by an integral equation with Nevanlinna operator measure
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bruk, Vladislav Moiseevich |
| Copyright Year | 2012 |
| Abstract | We define families of maximal and minimal linear relations generated by an integral equation with Nevanlinna operator measure and prove their holomorphic property. We also prove that if a restriction of a maximal relation is continuously invertible, then the operator inverse to this restriction is integral. We apply the obtained results for proving the constancy of deficiency indices of some integral and differential equations. |
| Starting Page | 1 |
| Ending Page | 14 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.3103/S1066369X12100015 |
| Volume Number | 56 |
| Alternate Webpage(s) | http://old.kpfu.ru/journals/izv_vuz/arch/english/2012/10/e01-10.pdf |
| Alternate Webpage(s) | https://doi.org/10.3103/S1066369X12100015 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |