Turkish Journal of Mathematics
Abstract
In this paper, an approach for studying inverse Sturm--Liouville problems with integrable potentials on finite intervals is presented. We find the relations between Weyl solutions and $m_{j}$-functions of Sturm--Liouville problems, and by finding the connection between these and the solutions of second-order partial differential equations for transformation kernels associated with Sturm--Liouville operators, we prove the uniqueness of the solution of inverse problems.
DOI
10.3906/mat-1609-38
Keywords
Inverse Sturm--Liouville problem, Weyl solutions, $m_{j}$-functions, transformation kernel
First Page
1224
Last Page
1234
Recommended Citation
MOSAZADEH, S (2017). A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals. Turkish Journal of Mathematics 41 (5): 1224-1234. https://doi.org/10.3906/mat-1609-38
