Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions
1 Department of Mathematics, Saratov State University, Astrakhanskaya str. 83, Saratov, 410012, Russia
2 Department of Mathematics, Tamkang University, Tamsui, New Taipei, 25137, Taiwan
Boundary Value Problems 2013, 2013:180 doi:10.1186/1687-2770-2013-180Published: 6 August 2013
We study the inverse problem for non-selfadjoint Sturm-Liouville operators on a finite interval with possibly multiple spectra. We prove the uniqueness theorem and obtain constructive procedures for solving the inverse problem along with the necessary and sufficient conditions of its solvability and also prove the stability of the solution.
MSC: 34A55, 34B24, 47E05.