Reconstruction of potentials in the Sturm-Liouville inverse problem by the variational method

被引：3

作者：

Ternovskii, V. V. ^{[1
]}

Khapaev, M. M. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119992, Russia

来源：

DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期

关键词：

D O I：

10.1134/S1064562406010297

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An algorithm for solving the inverse Sturon-Liouville (SL) problem was suggested. The problem deals with the reconstruction of a functional dependence for the potential function from observable eigenvalues. The variational method was employed for the reconstruction of potentials in the SL problem. The analysis showed that the algorithm involves an automatic self-regularization of eigenfunctions.

引用

页码：107 / 111

页数：5

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