Please use this identifier to cite or link to this item:
http://dspace.pdpu.edu.ua/handle/123456789/4252| Title: | On characteristic functions of operators on equilateral graphs |
| Authors: | Пивоварчик, В’ячеслав Миколайович Pyvovarchyk, Viacheslav Mykolayovуch |
| Keywords: | Sturm-Liouville equation Dirichlet boundary condition Neumann boundary condition Kirchhoff’s condition eigenvalue multiplicity discrete Laplacian continuous Laplacian quantum graph cyclically connected graph |
| Issue Date: | 2012 |
| Publisher: | Інститут математики НАН України |
| Citation: | Pivovarchik V. On characteristic functions of operators on equilateral graphs / V. Pivovarchik, O. Тaystruk // Methods of Functional Analysis and Topology. – 2012. – Vol. 18, №. 2. – P. 189–197. |
| Abstract: | Known connection between discrete and continuous Laplacians in case of same symmetric potential on the edges of a quantum graph is used to construct characteristic functions of quantum graphs and to find some parameters of graphs using spectra of boundary value problems. |
| URI: | http://dspace.pdpu.edu.ua/handle/123456789/4252 |
| Appears in Collections: | Кафедра вищої математики і статистики |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| On characteristic functions of operators on equilateral graphs.pdf | 151.32 kB | Adobe PDF | View/Open |
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