Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator

被引：0
|
作者：
N. P. Bondarenko
机构：
[1] Saratov State University,
来源：
Functional Analysis and Its Applications | 2012年 / 46卷
关键词：
matrix Sturm-Liouville operator; spectral data; inverse spectral problem; necessary and sufficient condition;
D O I：
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学科分类号：
摘要：
The matrix Sturm-Liouville operator on a finite interval with Dirichlet boundary conditions is studied. Properties of its spectral characteristics and the inverse problem of recovering the operator from these characteristics are investigated. Necessary and sufficient conditions on the spectral data of the operator are obtained. Research is conducted in the general case, with no a priori restrictions on the spectrum. A constructive algorithm for solving the inverse problem is provided.
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页码：53 / 57
页数：4
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