INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATORS ON A CURVE

被引：2

作者：

Golubkov, Andrey Alexandrovich ^{[1
]}

Kuryshova, Yulia Vladimirovna ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Adv Educ & Sci Ctr, 11 Kremenchugskaya Str, Moscow 121357, Russia

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2019年 / 50卷 / 03期

关键词：

Inverse spectral problem on a curve; method of a unit transfer matrix; Sturm-Liouville equation; piecewise-entire potential function; solution jump conditions; asymptotic behavior of solutions; RECONSTRUCTION; PERMITTIVITY; EQUATION; SPECTRUM;

D O I：

10.5556/j.tkjm.50.2019.3368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inverse spectral problem for the Sturm-Liouville equation with a piecewise-entire potential function and the discontinuity conditions for solutions on a rectifiable curve gamma subset of C by the transfer matrix along this curve is studied. By the method of a unit transfer matrix the uniqueness of the solution to this problem is proved with the help of studying of the asymptotic behavior of the solutions to the Sturm-Liouville equation for large values of the spectral parameter module.

引用

页码：349 / 359

页数：11

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