Inverse problem of scattering theory for a class one-dimensional Schrodinger equation

被引：0

作者：

Mamedov, Kh R. ^{[1
]}

Nabiev, A. A. ^{[2
]}

机构：

[1] Mersin Univ, Sci & Letters Fac, Dept Math, TR-33343 Mersin, Turkey

[2] Suleyman Demirel Univ, Fac Engn, Dept Comp Engn, Isparta, Turkey

来源：

QUAESTIONES MATHEMATICAE | 2019年 / 42卷 / 07期

关键词：

Schrodinger equation; scattering data; Jost solution; integral representation; inverse scattering problem; SPECTRAL MEASURE FUNCTION; EIGENVALUE PROBLEMS; JOST SOLUTIONS;

D O I：

10.2989/16073606.2018.1498814

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, direct and inverse scattering problem on the real axis for the Schrodinger equation with piecewise-constant coefficient are studied. Using the new integral representations for solutions, the scattering data is defined, the main integral equations of the inverse scattering problem are obtained, the spectral characteristics of the scattering data are investigated and uniqueness theorem for the solution of inverse problem is proved.

引用

页码：841 / 856

页数：16

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