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

Shahriari, Mohammad; Akbari, Reza

doi:10.22130/scma.2023.2000439.1297

Document Type : Research Paper

Authors

Mohammad Shahriari ¹
Reza Akbari ²

¹ Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.

² Department of Mathematical Sciences, Payame Noor University, Iran.

https://doi.org/10.22130/scma.2023.2000439.1297

Abstract

In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional Sturm-Liouville operators of order $\alpha$ ($0 < \alpha\leq 1$), with a jump and eigen-parameter 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.

Keywords

20.1001.1.23225807.2023.20.4.6.4

Main Subjects

Functional Analysis and Operator Theory

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Sahand Communications in Mathematical Analysis

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

References

References

Volume 20, Issue 4
September 2023
Pages 87-104

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

References

References

Volume 20, Issue 4September 2023Pages 87-104

Volume 20, Issue 4
September 2023
Pages 87-104