On the Inverse Spectral Problem for the One-dimensional Stark Operator on the Semiaxis

被引：0

作者：

Khanmamedov, A. Kh. ^{[1
,2
,3
,4
]}

Huseynova, Y. I. ^{[2
]}

机构：

[1] Minist Sci & Educ Republ Azerbaijan, Inst Math & Mech, B Vahabzadeh 9, AZ-1141 Baku, Azerbaijan

[2] Baku State Univ, Z Khalilov 23, AZ-1148 Baku, Azerbaijan

[3] Azerbaijan Univ, AZ-1007 Baku, Azerbaijan

[4] Baku Engn Univ, H Aliyev 120, AZ-0101 Baku, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2024年 / 14卷 / 01期

关键词：

Stark operator; Dirichlet boundary condition; Airy function; inverse spectral problem; main integral equation; SCHRODINGER-EQUATION;

D O I：

10.59849/2218-6816.2024.1.122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Stark operator T = - d(2) /dx(2) +x+q (x) on the semiaxis 0 < x <infinity with the Dirichlet boundary condition at the origin. The asymptotic behavior of the eigenvalues of this operator is studied. By the method of transformation operators, we study the spectral problem. We give a rigorous derivation of the main integral equation for the inverse problem.

引用

页码：122 / 132

页数：11

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