On the multiplicity of eigenvalues of the Sturm–Liouville problem on graphs
- Autores: Diab A.T.1, Kaldybekova B.K.2, Penkin O.M.2,3
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Afiliações:
- Ain Shams University
- Kazakh–British Technical University
- Voronezh State University
- Edição: Volume 99, Nº 3-4 (2016)
- Páginas: 492-502
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149268
- DOI: https://doi.org/10.1134/S0001434616030226
- ID: 149268
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Resumo
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.
Sobre autores
A. Diab
Ain Shams University
Autor responsável pela correspondência
Email: Adeldiab80@hotmail.com
Egito, Ain Shams
B. Kaldybekova
Kazakh–British Technical University
Email: Adeldiab80@hotmail.com
Cazaquistão, Almaty
O. Penkin
Kazakh–British Technical University; Voronezh State University
Email: Adeldiab80@hotmail.com
Cazaquistão, Almaty; Voronezh
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