Inverse Problem for the Quadratic Pencil of the Sturm-Liouville Equations

被引：0

作者：

Panakhov, Etibar S. ^{[1
]}

Tas, Kezban ^{[2
]}

Sat, Murat ^{[3
]}

机构：

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

[2] Tunceli Univ, TR-62000 Tunceli, Turkey

[3] Erzincan Univ, Fac Sci & Art, Dept Math, TR-24100 Erzincan, Turkey

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

DIFFERENTIAL PENCILS; RECONSTRUCTION;

D O I：

10.1063/1.4912599

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the wellposedness of the inverse problem for the quadratic pencil of the Sturm-Liouville equation (diffusion operator). We will consider two different problem for diffusion operator. By using the Mizutani's method, we will prove that if the spectral characteristics of this problems are close to each other, then the difference between their potential functions is sufficiently small in a certain sense.

引用

页数：9

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