Seyfollah MOSAZADEH

A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

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: