Non-self-adjoint Sturm-Liouville differential operators on the half-line with a boundary condition depending polynomially on the spectral parameter are studied. We establish properties of the spectral characteristics and investigate the inverse problem of recovering the operator from the spectral data. For this inverse problem we prove the uniqueness theorem and provide a procedure for constructing the solution by the method of spectral mappings.
Analysis and Mathematical Physics – Springer Journals
Published: Feb 16, 2011