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Eurasian Mathematical Journal, 2020, Volume 11, Number 2, Pages 30–39
DOI: https://doi.org/10.32523/2077-9879-2020-11-2-30-39 (Mi emj363) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the spectral analysis of a differential operator with an involution and general boundary conditions

A. G. Baskakova, I. A. Krishtalb, N. B. Uskovac

a Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, 1 Universitetskaya Sq, 394018 Voronezh, Russia
b Department of Mathematical Sciences, Northern Illinois University, 1425 West Lincoln Hwy, DeKalb, IL 60115, USA
c Department of Higher Mathematics and Physical and Mathematical Modeling, Voronezh State Technical University, 14 Moscovsky Ave, 394016 Voronezh, Russia
Full-text PDF (430 kB) Citations (12)
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DOI: https://doi.org/10.32523/2077-9879-2020-11-2-30-39
Abstract: We study first-order differential operators with an involution and non-periodic boundary conditions. We exhibit their spectral properties such as the asymptotic estimates of their eigenvalues, eigenvectors and spectral projections. We also use these properties to estimate the groups generated by the differential operators we study. The results were obtained by using the method of similar operators.
Keywords and phrases: the method of similar operators, differential operator with an involution.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732_a
The first and third authors are supported by the Russian Foundation for Basic Research, project no. 19-01-00732.
Received: 06.11.2018
Bibliographic databases:
Document Type: Article
MSC: 35L75, 35Q53, 37K10
Language: English
Citation: A. G. Baskakov, I. A. Krishtal, N. B. Uskova, “On the spectral analysis of a differential operator with an involution and general boundary conditions”, Eurasian Math. J., 11:2 (2020), 30–39
Citation in format AMSBIB
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\paper On the spectral analysis of a differential operator with an involution and general boundary conditions
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 2
\pages 30--39
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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