Spectral theory provides a rigorous framework for analysing the eigenvalues and eigenfunctions of differential operators that play an essential role in mathematical physics. In particular, ...

The study of inverse nodal problems in Sturm-Liouville theory is dedicated to the reconstruction of underlying potential functions and boundary conditions by utilising the nodal (zero-crossing) data ...

In this paper we present an algorithm for solving the inverse Sturm-Liouville problem with symmetric potential and Dirichlet boundary conditions. The algorithm is based on the Rayleigh-Ritz method for ...

It is known that if the potential function q(x) in a Sturm-Liouville problem is prescribed over the interval (0, 1/2) and the boundary condition at the point zero is fixed, then a single spectrum ...