SPECTRAL ANALYSIS FOR THE MATRIX STURM-LIOUVILLE OPERATOR ON A FINITE INTERVAL

被引:21
作者
Bondarenko, N. [1 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410026, Russia
来源
TAMKANG JOURNAL OF MATHEMATICS | 2011年 / 42卷 / 03期
基金
俄罗斯基础研究基金会;
关键词
Matrix Sturm-Liouville operators; inverse spectral problems; method of spectral mappings;
D O I
10.5556/j.tkjm.42.2011.756
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The inverse spectral problem is investigated for the matrix Sturm-Liouville equation on a finite interval. Properties of spectral characteristics are provided, a constructive procedure for the solution of the inverse problem along with necessary and sufficient conditions for its solvability is obtained.
引用
收藏
页码:305 / 327
页数:23
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