An inverse spectral problem for Sturm-Liouville operators with a large constant delay

被引：44

作者：

Buterin, S. A. ^{[1
]}

Yurko, V. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Saratov, Russia

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Differential operators; Deviating argument; Constant delay; Inverse spectral problems;

D O I：

10.1007/s13324-017-0176-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Sturm-Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two boundary value problems with one common boundary condition. The conditions on arbitrary subspectra are obtained that are necessary and sufficient for the unique determination of the potential by specifying these subspectra, and a constructive procedure for solving the inverse problem is provided along with necessary and sufficient conditions of its solvability.

引用

页码：17 / 27

页数：11

共 25 条

[21] Solubility and properties of solutions of functional-differential equations in Hilbert space
Vlasov, VV
[J]. SBORNIK MATHEMATICS, 1995, 186 (7-8) : 1147 - 1172
[22] Yurko V.A., 2002, Inverse and Ill-Posed Problems Series
[23] Yurko V. A., 2000, Inverse Spectral Problems for Differential Operators and their Applications, DOI [10.1201/9781482287431, DOI 10.1201/9781482287431]
[24] Yurko V.A., 2014, FAR EAST J MATH SCI, V92, P247
[25] INVERSE PROBLEM FOR INTEGRODIFFERENTIAL OPERATORS
YURKO, VA
[J]. MATHEMATICAL NOTES, 1991, 50 (5-6) : 1188 - 1197

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