Inverse Problem for Sturm-Liouville Operator on the Half-line Having Nonintegrable Singularity in an Interior Point

被引：1

作者：

Fedoseev, A. E. ^{[1
]}

机构：

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

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2012年 / 12卷 / 04期

关键词：

inverse problem; Sturm--Liouville operator; nonintegrable singularity; Weyl function;

D O I：

10.18500/1816-9791-2012-12-4-49-55

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inverse problem of recovering Sturm-Liouville operators on the half-line with a nonintegrable Bessel-type singularity in an interior point from the given Weyl function is studied. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions of the solvability of the inverse problem are obtained.

引用

页码：49 / 55

页数：7

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