The inverse scattering problem for a discrete Sturm-Liouville equation on the line

被引：3

作者：

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

机构：

[1] Baku State Univ, Baku, Azerbaijan

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

来源：

SBORNIK MATHEMATICS | 2011年 / 202卷 / 07期

关键词：

the inverse spectral problem; Jacobi operators; scattering problem; Weyl function;

D O I：

10.1070/SM2011v202n07ABEH004178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the inverse scattering problem for a discrete Sturm-Liouville equation on the entire line with coefficients that stabilize to zero in one direction. We derive a necessary and a sufficient condition on the scattering data so that the inverse problem is uniquely solvable.

引用

页码：1071 / 1083

页数：13

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