GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS

Journal Title: Проблемы анализа-Issues of Analysis - Year 2018, Vol 7, Issue 2

Abstract

We define a minimal operator L_0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗_0. We prove that every generalized resolvent of L_0 is an integral operator and give a description of boundary value problems associated to generalized resolvents.

Authors and Affiliations

V. M. Bruk

Keywords

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  • EP ID EP437229
  • DOI 10.15393/j3.art.2018.4630
  • Views 87
  • Downloads 0

How To Cite

V. M. Bruk (2018). GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS. Проблемы анализа-Issues of Analysis, 7(2), 20-38. https://europub.co.uk/articles/-A-437229