On the Inverse Scattering Problem for the One-Dimensional Schrodinger Equation with Increasing Potential

被引：1

作者：

Guseinov, I. M. ^{[1
,2
,3
]}

Khanmamedov, Ag. Kh. ^{[1
,2
,3
]}

机构：

[1] Baku State Univ, Baku, Azerbaijan

[2] Azerbaijan Univ, Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

[3] Azerbaijan Univ, Baku, Azerbaijan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 70卷 / 10期

关键词：

D O I：

10.1007/s11253-019-01593-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a one-dimensional Schrodinger equation on the entire axis whose potential rapidly decreases on the left-hand side and infinitely increases on the right-hand side. By the method of transformation operators, we study the inverse scattering problem. We establish conditions for the scattering data under which the inverse problem is solvable. The main Marchenko-type integral equations are investigated and their unique solvability is established.

引用

页码：1604 / 1618

页数：15

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