Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions

被引：32

作者：

Keskin, B. ^{[1
]}

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

机构：

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

来源：

ACTA MATHEMATICA HUNGARICA | 2011年 / 130卷 / 04期

关键词：

Dirac operator; spectrum; inverse problem; jump condition; STURM-LIOUVILLE PROBLEMS; PARAMETER; EIGENPARAMETER; EQUATIONS;

D O I：

10.1007/s10474-010-0052-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the Dirac operator with eigenvalue dependent boundary and jump conditions. Properties of eigenvalues, eigenfunctions and the resolvent operator are studied. Moreover, uniqueness theorems of the inverse problem according to the Weyl functions and the spectral data (the sets of eigenvalues and norming constants; two different eigenvalues sets) are proved.

引用

页码：309 / 320

页数：12

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