PROPERTIES OF THE SPECTRUM AND UNIQUENESS OF RECONSTRUCTION OF STURM-LIOUVILLE OPERATOR WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

被引：0

作者：

Nabiev, Ibrahim M. ^{[1
,2
]}

Shukurov, Aydin Sh. ^{[1
,2
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2014年 / 40卷

关键词：

the inverse Sturm-Liouville problem; the nonseparated boundary conditions; the eigenvalues problem; uniqueness theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the boundary value problem generated on a finite interval by the Sturm-Liouville equation and nonseparated boundary conditions, one of which contains the spectral parameter. We study the main properties of the eigenvalues of the boundary value problem, provide a uniqueness theorem and construct an algorithm for solving the inverse problem by spectral data.

引用

页码：332 / 341

页数：10

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