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Eurasian Mathematical Journal, 2019, Volume 10, Number 1, Pages 16–29
DOI: https://doi.org/10.32523/2077-9879-2019-10-1-16-29 (Mi emj320) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lagrange formula for differential operators and self-adjoint restrictions of the maximal operator on a tree

B. Kanguzhin, L. Zhapsarbaeva, Zh. Madibaiuly

Department of Mechanics and Mathematics, al Farabi Kazakh National University, 71 al Farabi Av., A15E3B4 Almaty, Kazakhstan
Full-text PDF (433 kB) Citations (3)
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DOI: https://doi.org/10.32523/2077-9879-2019-10-1-16-29
Abstract: The paper is devoted to linear differential operators defined on a tree. We aim at obtaining complete descriptions of well-posed restrictions of a given maximal differential operator on a tree. In this paper all self-adjoint restrictions of the maximal operator and also all the invertible restrictions of the maximal operator are described. We also present the Lagrange formula for a differential operator on a tree with the Kirchhoff conditions at its interior vertices.
Keywords and phrases: directed graph, tree, Kirchhoff conditions, self-adjoint restrictions.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05131845
AP05131292
This research is financially supported by the Ministry of Science and Education of the Republic of Kazakhstan (Grants no. AP05131292 and no. AP05131845).
Received: 08.08.2017
Bibliographic databases:
Document Type: Article
MSC: 34B45,34L20
Language: English
Citation: B. Kanguzhin, L. Zhapsarbaeva, Zh. Madibaiuly, “Lagrange formula for differential operators and self-adjoint restrictions of the maximal operator on a tree”, Eurasian Math. J., 10:1 (2019), 16–29
Citation in format AMSBIB
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\by B.~Kanguzhin, L.~Zhapsarbaeva, Zh.~Madibaiuly
\paper Lagrange formula for differential operators and self-adjoint restrictions of the maximal operator on a tree
\jour Eurasian Math. J.
\yr 2019
\vol 10
\issue 1
\pages 16--29
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\crossref{https://doi.org/10.32523/2077-9879-2019-10-1-16-29}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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