INVERSE SPECTRAL PROBLEMS FOR COUPLED OSCILLATING SYSTEMS: RECONSTRUCTION FROM THREE SPECTRA

被引：0

作者：

Albeverio, S. ^{[1
,2
,3
,4
]}

Hryniv, R. ^{[5
]}

Mykytyuk, Ya. ^{[6
]}

机构：

[1] Univ Bonn, Inst Angew Math, Wegelerstr 6, D-53115 Bonn, Germany

[2] BiBoS, Bielefeld, Germany

[3] CERFIM, Locarno, Switzerland

[4] Accad Architettura, Mendrisio, Switzerland

[5] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

[6] Lviv Natl Univ, UA-79602 Lvov, Ukraine

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2007年 / 13卷 / 02期

关键词：

Inverse spectral problem; Sturm-Liouville equation; Jacobi matrix; three spectra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an inverse spectral problem for a compound oscillating system consisting of a singular string and N masses joined by springs. The operator A corresponding to this system acts in L-2(0, 1) x C-N and is composed of a Sturm-Liouville operator in L-2(0, 1) with a distributional potential and a Jacobi matrix in C-N that are coupled in a special way. We solve the problem of reconstructing the system from three spectra-namely, from the spectrum of A and the spectra of its decoupled parts. A complete description of possible spectra is given.

引用

页码：110 / 123

页数：14

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