Inverse nodal and inverse spectral problems for discontinuous boundary value problems

被引：152

作者：

Shieh, Chung-Tsun ^{[1
]}

Yurko, V. A. ^{[2
]}

机构：

[1] Tamkang Univ, Dept Math, Taipei 251, Taiwan

[2] Saratov Univ, Dept Math, Saratov 410012, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 347卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Sturm-Liouville operators; discontinuous conditions; inverse spectral problems; inverse nodal problems;

D O I：

10.1016/j.jmaa.2008.05.097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inverse nodal and inverse spectral problems are studied for second-order differential operators on a finite interval with discontinuity conditions inside the interval. Uniqueness theorems are proved, and a constructive procedure for the solution is provided. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：266 / 272

页数：7

共 28 条

[1] EFFECT OF DISCONTINUITIES IN DENSITY AND SHEAR VELOCITY ON ASYMPTOTIC OVERTONE STRUCTURE OF TORSIONAL EIGENFREQUENCIES OF EARTH [J].