Solution of a model inverse spectral problem for the Sturm-Liouville operator on a graph
DOI:
https://doi.org/10.26089/NumMet.v17r319Keywords:
spectral theory of differential operators, geometric graph, Sturm-Liouville operator, spectral problemsAbstract
A model inverse spectral problem for the Sturm-Liouville operator on a geometric graph is studied. This problem consists in finding N parameters of the boundary conditions using its N known eigenvalues. It is shown that the problem under consideration possess the property of a monotonic dependence of its eigenvalues on the parameters of the boundary conditions. This problem is reduced to a multiparameter inverse spectral problem for the operator in a finite-dimensional space. A new algorithm for the numerical solution of this problem is proposed.
References
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Published
22-05-2016
How to Cite
Валеев Н., Мартынова Ю., Султанаев Я. Solution of a Model Inverse Spectral Problem for the Sturm-Liouville Operator on a Graph // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 204-211. doi 10.26089/NumMet.v17r319
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Section
Section 1. Numerical methods and applications