Inverse Problems for Arbitrary Order Differential Operators with Discontinuties in an Interior Point

被引：1

作者：

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

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Math, Astrakhanskaya 83, Saratov 410012, Russia

来源：

RESULTS IN MATHEMATICS | 2018年 / 73卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Differential operators; jump conditions; inverse spectral problems;

D O I：

10.1007/s00025-018-0791-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inverse spectral problems are studied for arbitrary order differential operators on a finite interval with jump conditions inside the interval. Properties of spectral characteristics are obtained, and uniqueness theorems are proved for this class of inverse problems.

引用

页码：1 / 10

页数：10

共 50 条

[1] Inverse Problems for Arbitrary Order Differential Operators with Discontinuties in an Interior Point
V. A. Yurko
Results in Mathematics, 2018, 73
[2] Inverse Problems for Arbitrary Order Integral and Integro-Differential Operators
Vjacheslav Yurko
Results in Mathematics, 2018, 73
[3] Inverse Problems for Arbitrary Order Integral and Integro-Differential Operators
Yurko, Vjacheslav
RESULTS IN MATHEMATICS, 2018, 73 (02)
[4] Inverse spectral problems for arbitrary order differential operators on noncompact trees
Yurko, Vjacheslav Anatoljevich
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2012, 20 (01): : 111 - 131
[5] Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients
Bondarenko, Natalia P.
MATHEMATICS, 2021, 9 (22)
[6] Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point
Freiling, G
Yurko, V
INVERSE PROBLEMS, 2002, 18 (03) : 757 - 773
[7] Inverse spectral problems for differential operators on arbitrary compact graphs
Yurko, Vjacheslav Anatoljevich
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2010, 18 (03): : 245 - 261
[8] Inverse problems for differential operators of any order on trees
V. A. Yurko
Mathematical Notes, 2008, 83 : 125 - 137
[9] Inverse problems for differential operators of any order on trees
Yurko, V. A.
MATHEMATICAL NOTES, 2008, 83 (1-2) : 125 - 137
[10] Direct and Inverse Problems of Spectral Analysis for Arbitrary-Order Differential Operators with Nonintegrable Regular Singularities
Yurko V.A.
Journal of Mathematical Sciences, 2024, 278 (1) : 194 - 205

← 1 2 3 4 5 →