On the multiplicity of eigenvalues of the Sturm–Liouville problem on graphs

A. T. Diab; B. K. Kaldybekova; O. M. Penkin

doi:10.1134/S0001434616030226

On the multiplicity of eigenvalues of the Sturm–Liouville problem on graphs

作者: Diab A.T.¹, Kaldybekova B.K.², Penkin O.M.²^,3
隶属关系:
1. Ain Shams University
2. Kazakh–British Technical University
3. Voronezh State University
期: 卷 99, 编号 3-4 (2016)
页面: 492-502
栏目: Article
URL: https://journals.rcsi.science/0001-4346/article/view/149268
DOI: https://doi.org/10.1134/S0001434616030226
ID: 149268

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详细

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.