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Invertibility of linear relations generated by integral equation with operator measures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bruk, Vladislav Moiseevich |
| Copyright Year | 2014 |
| Abstract | We investigate linear relations generated by an integral equation with operator measures on a segment in the infinite-dimensional case. In terms of boundary values, we obtain necessary and sufficient conditions under which these relations S possess the properties: S is a closed relation; S is an invertible relation; the kernel of S is finite-dimensional; the range of S is closed; S is a continuously invertible relation and others. The results are applied to a system of integral equations becoming a quasi-differential equation whenever the operator measures are absolutely continuous as well as to an integral equation with multi-valued impulse action. |
| Starting Page | 48 |
| Ending Page | 59 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.13108/2014-6-4-48 |
| Alternate Webpage(s) | http://matem.anrb.ru/sites/default/files/files/vupe24/Bruk.pdf |
| Alternate Webpage(s) | https://doi.org/10.13108/2014-6-4-48 |
| Volume Number | 6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
