- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals
A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals
Authors : Seyfollah Mosazadeh
Pages : 1224-1234
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Inverse Sturm--Liouville problem, Weyl solutions, $m_{j}$-functions, transformation kernel