Spectral Problem Generated by the Equation of Smooth String with Piece-Wise Constant Friction

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2012
• Main Author: Kobyakova, L.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106724
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectral Problem Generated by the Equation of Smooth String with Piece-Wise Constant Friction / L. Kobyakova // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 3. — С. 280-295. — Бібліогр.: 19 назв. — англ.

In the paper, the spectral problem generated by the Sturm-Liouville equation -y'' + q(x)y = (λ² - ip(x)λ)y, where q(x) is a real L₂(0, a)-function and p(x) is a peace-wise constant, is considered with the Dirichlet boundary conditions at the ends of the interval (0, a). The spectrum of the...