Generalized resolvents of linear relations generated by a nonnegative operator function and a differential elliptic-type expression |
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| Authors: | V. M. Bruk |
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| Affiliation: | (1) Saratov State Technical University, ul. Politekhnicheskaya 77, Saratov, 410054, Russia |
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| Abstract: | We study invertible extensions of the minimal relation generated by a nonnegative operator function and a differential elliptic-type expression. We prove that the operators inverse to such extensions are integral operators and describe such integral operators. We obtain a formula for generalized resolvents of the minimal relation. |
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| Keywords: | linear relation symmetric relation generalized resolvent Green function operator function |
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