Inverse problem for a quadratic pencil of Sturm-Liouville operator

被引：22

作者：

Koyunbakan, Hikmet ^{[1
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 378卷 / 02期

关键词：

Quadratic pencil; Spectrum;

D O I：

10.1016/j.jmaa.2011.01.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to solve the inverse problem for a quadratic pencil of Sturm-Liouville operator on a finite interval. By using the Hochstadt's method, it is shown that the potential function can be given from two spectras as uniquely. Later, by generalizing this result, the Hochstadt's theorem which is related to the structure of difference for the potential functions is obtained. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：549 / 554

页数：6

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