Recovering Sturm-Liouville operators from spectra on a graph with a cycle

被引：8
作者：
Yurko, V. A. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia
来源：
SBORNIK MATHEMATICS | 2009年 / 200卷 / 9-10期
关键词：
inverse problems; problems with cycles; INVERSE PROBLEMS; TREES;
D O I：
10.1070/SM2009v200n09ABEH004042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An inverse problem of spectral analysis is studied for Sturm-Liouville differential operators on a graph with a, cycle and with generalized matching conditions at the internal vertex. Theorems on the unique recovery of operators from a, system of spectra are proved, and a constructive solution is obtained for this class of inverse problems.
引用
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页码：1403 / 1415
页数：13
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