An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line

被引：4

作者：

Bondarenko, Natalia ^{[1
]}

Freiling, Gerhard ^{[2
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Saratov 410026, Russia

[2] Univ Duisburg Essen, Dept Math, D-47057 Duisburg, Germany

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2014年 / 22卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Matrix quadratic differential pencils; Weyl matrix; inverse spectral problems; method of spectral mappings; SCATTERING PROBLEM; EQUATION;

D O I：

10.1515/jip-2012-0100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a pencil of non-self-adjoint matrix Sturm-Liouville operators on the half line and study the inverse problem of constructing this pencil by its Weyl matrix. A uniqueness theorem is proved, and a constructive algorithm for the solution is obtained.

引用

页码：467 / 495

页数：29

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