An inverse sturm-Liouville problem by three spectra

被引：0

作者：

Vyacheslav N. Pivovarchik

机构：

[1] Odessa Academy of Civil Engineering and Architecture,Department of Higher Mathematics

来源：

Integral Equations and Operator Theory | 1999年 / 34卷

关键词：

34A55; 34B24; 34B10; 34L20; Secondary 73K03;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is shown that the potential of the Sturm-Liouville equation on interval [0,a] may be restored by the spectra of three boundary problems generated by the equation on the intervals [0,a], [0, 1/2a] and [1/2a,a], respectively. The algorithm of construction is given as well as the sufficient conditions for three sequences of real numbers to be the spectra of the mentioned boundary problems. The problem on [0,a] describes small vibrations of a smooth string with fixed ends. The problems on the half-intervals describe vibrations of the same string clamped at the point of equilibrium.

引用

页码：234 / 243

页数：9

共 10 条

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[9]

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[10]

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