Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues
Abstract In this paper, the inverse Sturm–Liouville problem with distribution potential and with polynomials of the spectral parameter in one of the boundary conditions is considered. We for the first time prove local solvability and stability of this inverse problem in the general non-self-adjoint case, taking possible splitting of multiple …