Dissipative expansions of a symmetric relation generated by a system of integral equations with operator measures

V. M. Bruk

Chair of Mathematics and Modeling, Saratov State Technical University, 77 Politekhnicheskaya str., Saratov, 410054 Russia

Abstract: With the help of boundary conditions, we describe dissipative and accumulative expansions of a minimal relation generated by a system of integral equations with operator measures in the infinite-dimensional case.

Keywords: Hilbert space, linear relation, integral equation, operator measure, boundary value.

UDC: 517.983

Received: 09.06.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:12, 7–22

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