INVERSE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION WITH THE DISCONTINUOUS COEFFICIENT

被引：2

作者：

Nabiev, Anar Adiloglu ^{[1
]}

Gurdal, Mehmet ^{[2
]}

Saltan, Suna ^{[2
]}

机构：

[1] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkey

[2] Suleyman Demirel Univ, Fac Sci, Dept Math, TR-32260 Isparta, Turkey

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 02期

关键词：

Sturm-Louville equation; boundary value problems; spectral analysis of ordinary differential operators; transformation operator; integral representation; asymptotic formulas for eigenvalues; expansion formula; BOUNDARY-VALUE-PROBLEMS; EIGENVALUE PROBLEMS; SINGULAR POTENTIALS; SPECTRAL PROBLEMS; WAVE SPEED; OPERATORS; INTERVAL; SCATTERING; IMPEDANCE;

D O I：

10.11948/2017035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we derive the Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for the boundary value problem L and prove the uniquely solvability of the main integral equation. Further, we give the solution of the inverse problem by the spectral data and by two spectrum.

引用

页码：559 / 580

页数：22

共 44 条

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