Аннотация:
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.
Ключевые слова и фразы:
directed graph, tree, Kirchhoff conditions, self-adjoint restrictions.
This research is financially supported by the Ministry of Science and Education of the Republic
of Kazakhstan (Grants no. AP05131292 and no. AP05131845).
Образец цитирования:
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
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\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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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj320
https://www.mathnet.ru/rus/emj/v10/i1/p16
Эта публикация цитируется в следующих 3 статьяx:
B. E. Kanguzhin, Zh. A. Kaiyrbek, M. O. Mustafina, “Recovering of the Stiffness Coefficients of the Sturm–Liouville Operator on a Star Graph from a Finite Set of Its Eigenvalues”, Lobachevskii J Math, 45:6 (2024), 2711
B. E. Kanguzhin, “Propagation of nonsmooth waves under singular perturbations of the wave equation”, Eurasian Math. J., 13:3 (2022), 41–50
B. N. Biyarov, D. L. Svistunov, G. K. Abdrasheva, “Correct singular perturbations of the Laplace operator”, Eurasian Math. J., 11:4 (2020), 25–34
Цитирование в формате AMSBIB
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