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http://dspace.pdpu.edu.ua/handle/123456789/4241| Title: | An inverse problem by eigenvalues of four spectra |
| Authors: | Пивоварчик, В’ячеслав Миколайович Pyvovarchyk, Viacheslav Mykolayovуch |
| Keywords: | Dirichlet boundary condition Neumann boundary condition Marchenko equation Lagrange interpolation series Sine-type function Nevanlinna function |
| Issue Date: | 2012 |
| Publisher: | Elsevier |
| Citation: | Pivovarchik V. An inverse problem by eigenvalues of four spectra / V. Pivovarchik // Journal of Mathematical Analysis and Applications. – 2012. – Volume 396, Issue 2. – P. 715-723. |
| Abstract: | Certain parts of the Dirichlet–Dirichlet, Neumann–Dirichlet, Dirichlet–Neumann and Neumann–Neumann spectra are used to find the potential of the Sturm–Liouville equation on a finite interval. This problem possesses a unique solution. Conditions are found necessary and sufficient for four sequences to be the corresponding parts of the four spectra. |
| URI: | http://dspace.pdpu.edu.ua/handle/123456789/4241 |
| Appears in Collections: | Кафедра вищої математики і статистики |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| An inverse problem by eigenvalues of four spectra.pdf | 242.56 kB | Adobe PDF | View/Open |
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