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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 330–345
DOI: https://doi.org/10.4213/mzm11170 (Mi mzm11170) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Spectral Analysis of Operator Polynomials and Higher-Order Difference Operators

A. G. Baskakova, V. D. Kharitonovb

a Voronezh State University
b National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (555 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11170
Abstract: The study of the spectral properties of operator polynomials is reduced to the study of the spectral properties of the operator specified by the operator matrix. The results obtained are applied to higher-order difference operators. Conditions for their invertibility and for them to be Fredholm, as well as the asymptotic representation for bounded solutions of homogeneous difference equations are obtained.
Keywords: operator polynomial, difference operator, spectrum of an operator, kernel of an operator, image of an operator.
Funding agency Grant number
Russian Science Foundation 14-21-00066
Received: 09.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 391–405
DOI: https://doi.org/10.1134/S0001434617030026
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. G. Baskakov, V. D. Kharitonov, “Spectral Analysis of Operator Polynomials and Higher-Order Difference Operators”, Mat. Zametki, 101:3 (2017), 330–345; Math. Notes, 101:3 (2017), 391–405
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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