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

被引：7

作者：

Bondarenko, N. P. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2012年 / 46卷 / 01期

关键词：

matrix Sturm-Liouville operator; spectral data; inverse spectral problem; necessary; sufficient condition; EQUATION; INTERVAL;

D O I：

10.1007/s10688-012-0006-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：53 / 57

页数：5

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