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.
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
