On the multiplicity of eigenvalues of the Sturm–Liouville problem on graphs
- Авторы: Diab A.T.1, Kaldybekova B.K.2, Penkin O.M.2,3
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Учреждения:
- Ain Shams University
- Kazakh–British Technical University
- Voronezh State University
- Выпуск: Том 99, № 3-4 (2016)
- Страницы: 492-502
- Раздел: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149268
- DOI: https://doi.org/10.1134/S0001434616030226
- ID: 149268
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Аннотация
Bounds for the multiplicity of the eigenvalues of the Sturm–Liouville problem on a graph, which are valid for a wide class of consistency (transmission) conditions at the vertices of the graph, are given. The multiplicities are estimated using the topological characteristics of the graph. In the framework of the notions that we use, the bounds turn out to be exact.
Об авторах
A. Diab
Ain Shams University
Автор, ответственный за переписку.
Email: Adeldiab80@hotmail.com
Египет, Ain Shams
B. Kaldybekova
Kazakh–British Technical University
Email: Adeldiab80@hotmail.com
Казахстан, Almaty
O. Penkin
Kazakh–British Technical University; Voronezh State University
Email: Adeldiab80@hotmail.com
Казахстан, Almaty; Voronezh
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