Uniqueness Theorems for Inverse Problems of Discontinuous Sturm-Liouville Operator

被引：4

作者：

Akcay, Ozge ^{[1
]}

机构：

[1] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 04期

关键词：

Inverse problems; Sturm– Liouville equation; Discontinuity conditions and discontinuous coefficient; Main equation; Weyl function; SPECTRAL PROBLEMS; EQUATION;

D O I：

10.1007/s40840-020-01041-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, inverse spectral problems of discontinuous Sturm-Liouville problems contained in the discontinuous coefficient and discontinuity conditions at an interior point of the finite interval are, respectively, studied according to the spectral data (the sequences of eigenvalues and normalized numbers) by using the Gelfand-Levitan-Marchenko method; the Weyl function.

引用

页码：1927 / 1940

页数：14

共 35 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA

[2] Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient [J].