Geodesic
Generalized resolvents of linear relations generated by a nonnegative operator function and a differential elliptic-type expression
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 12-26.

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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.
Keywords: linear relation, symmetric relation, generalized resolvent, Green function, operator function. 
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V. M. Bruk. Generalized resolvents of linear relations generated by a nonnegative operator function and a differential elliptic-type expression. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 12-26. http://geodesic.mathdoc.fr/item/IVM_2008_11_a1/

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