An Inverse Problem for the Sturm-Liouville Operator

被引：0
|
作者：
Biyarov, B. N. [1 ]
机构：
[1] Gumilev Eurasian Natl Univ, Nur Sultan 010008, Kazakhstan
来源：
MATHEMATICAL NOTES | 2021年 / 110卷 / 1-2期
关键词：
Dirichlet problem; Neumann problem; Sturm-Liouville operator; coincidence of the spectrum; PARTIAL INFORMATION; SPECTRAL-ANALYSIS;
D O I：
10.1134/S0001434621070014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider spectral problems for the Sturm-Liouville operator generated by Dirichlet, Neumann, Dirichlet-Neumann and Neumann-Dirichlet conditions. Necessary and sufficient condition for the coincidence of the spectrum of the Dirichlet-Neumann and Neumann-Dirichlet problems are obtained. Necessary and sufficient condition for the coincidence of the spectrum, except zero, of the Dirichlet and Neumann problems is also obtained. Their application to periodic and anti-periodic problems is given.
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页码：3 / 15
页数：13
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