Turkish Journal of Mathematics
DOI
10.3906/mat-1609-38
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
First Page
1224
Last Page
1234
Recommended Citation
MOSAZADEH, SEYFOLLAH
(2017)
"A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals,"
Turkish Journal of Mathematics: Vol. 41:
No.
5, Article 13.
https://doi.org/10.3906/mat-1609-38
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss5/13
