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.
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页码：49 / 55
页数：7
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