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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 5, Pages 89–97
DOI: https://doi.org/10.26907/0021-3446-2021-5-89-97 (Mi ivm9679) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications

M. Sh. Burlutskaya

Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018 Russia
Full-text PDF (363 kB) Citations (8)
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DOI: https://doi.org/10.26907/0021-3446-2021-5-89-97
Abstract: Functional-differential operators with involution $\nu(x)=1-x$ are related to integral operators whose kernels suffer discontinuities on the lines $t=x$ and $t=1-x$, and to Dirac and Sturm-Liouville operators. They have found their application in the study of these operators, and in various applications. This paper reviews studies of the spectral properties of such operators with involution and their applications in problems on geometric graphs, in the study of Dirac systems, and in the justification of the Fourier method in mixed problems for partial differential equations.
Keywords: Functional-differential operator, involution, spectral theory, Dirac operator, graph, Fourier method.
Funding agency Grant number
Russian Science Foundation 19-11-00197
Received: 02.03.2021
Revised: 02.03.2021
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 5, Pages 69–76
DOI: https://doi.org/10.3103/S1066369X21050108
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. Sh. Burlutskaya, “Some properties of functional-differential operators with involution $\nu(x)=1-x$ and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 5, 89–97; Russian Math. (Iz. VUZ), 65:5 (2021), 69–76
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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