A Sturm-Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter

被引：0

作者：

C. van der Mee

V. N. Pivovarchik

机构：

来源：

Functional Analysis and Its Applications | 2002年 / 36卷

关键词：

Sturm--Liouville problem, damped string, spectral parameter-dependent boundary conditions, eigenvalues, asymptotics;

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学科分类号：

摘要：

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.

引用

页码：315 / 317

页数：2

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