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http://dspace.pdpu.edu.ua/handle/123456789/4245| Title: | Spectral Properties of a Fourth Order Differential Equation |
| Authors: | Пивоварчик, В’ячеслав Миколайович Pyvovarchyk, Viacheslav Mykolayovуch |
| Keywords: | fourth-order differential equation pure imaginary eigenvalues eigen-value distribution |
| Issue Date: | 2006 |
| Publisher: | European Mathematical Society |
| Citation: | Pivovarchik V. Spectral Properties of a Fourth Order Differential Equation / V. Pivovarchik, M. Moller // Journal for Analysis and its Applications. – 2006. – Volume 25. – P. 341-366. |
| Abstract: | The eigenvalue problem y(4)(¸; x) ¡ (gy0)0(¸; x) = ¸2y(¸; x) with boundary conditions y(¸; 0) = 0, y00(¸; 0) = 0, y(¸; a) = 0, y00(¸; a) + i®¸y0(¸; a) = 0 is considered, where g 2 C1[0; a] and ® > 0. It is shown that the eigenvalues lie in the closed upper half-plane and on the negative imaginary axis. A formula for the asymptotic distribution of the eigenvalues is given and the location of the pure imaginary spectrum is investigated. |
| URI: | http://dspace.pdpu.edu.ua/handle/123456789/4245 |
| Appears in Collections: | Кафедра вищої математики і статистики |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Spectral Properties.pdf | 223.76 kB | Adobe PDF | View/Open |
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