Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter

被引：33

作者：

Ozkan, A. S. ^{[1
]}

Keskin, B. ^{[1
]}

机构：

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

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2012年 / 20卷 / 06期

关键词：

inverse problem; Sturm-Liouville operator; Weyl function; jump conditions; eigenparameter dependent-boundary conditions; EIGENVALUE PARAMETER; EQUATIONS;

D O I：

10.1080/17415977.2011.652957

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the eigenvalues of this problem are investigated. Uniqueness theorems for the solution of inverse problem according to the Weyl function and spectral data are proven.

引用

页码：799 / 808

页数：10

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