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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
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
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.
Поступила в редакцию: 08.08.2017
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj320 https://www.mathnet.ru/rus/emj/v10/i1/p16
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Страница аннотации: | 268 | PDF полного текста: | 159 | Список литературы: | 20 |
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