Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions

被引:1
|
作者
Shahriari, Mohammad [1 ]
Akbari, Reza [2 ]
机构
[1] Univ Maragheh, Fac Sci, Dept Math, POB 55136553, Maragheh, Iran
[2] Payame Noor Univ, Dept Math, Tehran, Iran
来源
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2023年 / 20卷 / 04期
关键词
Inverse Sturm-Liouville problem; Conformable fractional derivative; Internal discontinuities; Parameter-dependent boundary conditions; FINITE NUMBER; SPECTRAL PARAMETER; EIGENPARAMETER;
D O I
10.22130/scma.2023.2000439.1297
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional SturmLiouville operators of order alpha (0 < alpha <= 1), with a jump and eigenparameter dependent boundary conditions. Further, we study the asymptotic form of solutions, eigenvalues and the corresponding eigenfunctions of the problem. Also, we consider three terms of the inverse problem, from the Weyl function, the spectral data and two spectra. Moreover, we can also extend Hald's theorem to the problem.
引用
收藏
页码:87 / 104
页数:19
相关论文
共 50 条