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http://dspace.pdpu.edu.ua/handle/123456789/5501| Title: | A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter |
| Authors: | Пивоварчик, В’ячеслав Миколайович Pyvovarchyk, Viacheslav Mykolayovуch Cornelis van der Mee |
| Keywords: | Sturm–Liouville problem damped string spectral parameter-dependent boundary conditions eigenvalues asymptotics |
| Issue Date: | 2002 |
| Publisher: | Plenum Publishing Corporation |
| Citation: | Pivovarchik V. A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter / V. Pivovarchik, Cornelis van der Mee // Functional Analysis and Its Applications. – 2002. – Vol. 36, № 4. – P. 315-317. |
| Abstract: | We consider a boundary value problem generated by the Sturm-Liouville equation on a finite interval. Both the equation and the boundary conditions depend quadratically on the spectral parameter. This boundary value problem occurs in the theory of small vibrations of a damped string. The inverse problem, i.e., the problem of recovering the equation and the boundary conditions from the given spectrum, is solved. |
| URI: | http://dspace.pdpu.edu.ua/handle/123456789/5501 |
| Appears in Collections: | Кафедра вищої математики і статистики |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| C. van der Mee and V. N. Pivovarchik.pdf | 86.96 kB | Adobe PDF | View/Open |
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