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 Mat. Zametki, 2020, Volume 108, Issue 4, Pages 490–506 (Mi mz12613)

Spectral Analysis of Operator Polynomials and Second-Order Differential Operators

A. G. Baskakov, D. B. Didenko

Voronezh State University

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.

DOI: https://doi.org/10.4213/mzm12613

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English version:
Mathematical Notes, 2020, 108:4, 477–491

Bibliographic databases:

UDC: 517.9+517.98

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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