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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), Issue 2, Pages 20–38
DOI: https://doi.org/10.15393/j3.art.2018.4630
(Mi pa245)
 

This article is cited in 5 scientific papers (total in 5 papers)

Generalized resolvents of operators generated by integral equations

V. M. Bruk

Saratov State Technical University, 77, Politehnicheskaja str., Saratov 410054, Russia
Full-text PDF (518 kB) Citations (5)
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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.
Keywords: integral equation, Hilbert space, symmetric operator, generalized resolvent, boundary value problem.
Received: 04.04.2018
Revised: 08.08.2018
Accepted: 11.08.2018
Bibliographic databases:
Document Type: Article
UDC: 517.983
MSC: 46G12, 45N05, 47A10
Language: English
Citation: V. M. Bruk, “Generalized resolvents of operators generated by integral equations”, Probl. Anal. Issues Anal., 7(25):2 (2018), 20–38
Citation in format AMSBIB
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\by V.~M.~Bruk
\paper Generalized resolvents of operators generated by integral equations
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\issue 2
\pages 20--38
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\crossref{https://doi.org/10.15393/j3.art.2018.4630}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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