INVERSE STURM-LIOUVILLE PROBLEMS WITH A SPECTRAL PARAMETER IN THE BOUNDARY AND TRANSMISSION CONDITIONS

被引：0

作者：

Shahriari, Mohammad ^{[1
]}

机构：

[1] Univ Maragheh, Fac Sci, Dept Math, Maragheh 5518183111, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2016年 / 3卷 / 02期

关键词：

Inverse Sturm-Liouville problem; Jump conditions; Non self-adjoint operator; Parameter dependent condition;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we study the inverse problem for non self-adjoint Sturm-Liouville operator - D-2 + q with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and parts of two sets of eigenvalues.

引用

页码：75 / 89

页数：15

共 50 条

[1] Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
Shahriari, Mohammad
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (03): : 123 - 139
[2] INVERSE PROBLEMS FOR STURM-LIOUVILLE OPERATORS WITH BOUNDARY CONDITIONS DEPENDING ON A SPECTRAL PARAMETER
Sat, Murat
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[3] Inverse Sturm-Liouville Problem with Spectral Parameter in the Boundary Conditions
Bondarenko, Natalia P.
Chitorkin, Egor E.
MATHEMATICS, 2023, 11 (05)
[4] An Inverse Spectral Problem of Sturm-Liouville Problems with Transmission Conditions
Ao, Ji-jun
Zhang, Liang
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
[5] Inverse Scattering Problems for Sturm-Liouville Operators with Spectral Parameter Dependent on Boundary Conditions
Yang, Ying
Wei, Guangsheng
MATHEMATICAL NOTES, 2018, 103 (1-2) : 59 - 66
[6] Inverse problems for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter
Freiling, G.
Yurko, V. A.
INVERSE PROBLEMS, 2010, 26 (05)
[7] A Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter
van der Mee, C
Pivovarchik, VN
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2002, 36 (04) : 315 - 317
[8] A Sturm-Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter
C. van der Mee
V. N. Pivovarchik
Functional Analysis and Its Applications, 2002, 36 : 315 - 317
[9] THE STURM-LIOUVILLE INVERSE SPECTRAL PROBLEM WITH BOUNDARY CONDITIONS DEPENDING ON THE SPECTRAL PARAMETER
van der Mee, Cornelis
Pivovarchik, Vjacheslav
OPUSCULA MATHEMATICA, 2005, 25 (02) : 243 - 260
[10] Inverse problems for impulsive Sturm-Liouville operator with spectral parameter linearly contained in boundary conditions
Amirov, R. Kh.
Ozkan, A. S.
Keskin, B.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (08) : 607 - 618

← 1 2 3 4 5 →