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Matematicheskie Zametki, 2020, Volume 108, Issue 4, Pages 490–506
DOI: https://doi.org/10.4213/mzm12613 (Mi mzm12613) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Spectral Analysis of Operator Polynomials and Second-Order Differential Operators

A. G. Baskakov, D. B. Didenko

Voronezh State University
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DOI: https://doi.org/10.4213/mzm12613
Abstract: Studying spectral properties of operator polynomials is reduced to studying the corresponding spectral properties of operators defined by operator matrices. The results are used to investigate second-order differential operators by associating them with the corresponding first-order differential operators and using their properties related to invertibility.
Keywords: bounded linear operator, differential operator, invertibility states, spectrum, Fredholm operator, projection operator.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732
The work of the first author was supported by the Russian Foundation for Basic Research under grant 19-01-00732.
Received: 15.11.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 4, Pages 477–491
DOI: https://doi.org/10.1134/S0001434620090205
Bibliographic databases:
Document Type: Article
UDC: 517.9+517.98
Language: Russian
Citation: A. G. Baskakov, D. B. Didenko, “Spectral Analysis of Operator Polynomials and Second-Order Differential Operators”, Mat. Zametki, 108:4 (2020), 490–506; Math. Notes, 108:4 (2020), 477–491
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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