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

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...

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Bibliographic Details
Date:2012
Main Author: Kobyakova, L.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106724
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine