An Inverse Problem for Strum-Liouville Operators with A Delay and The Eigenparameter Boundary Condition

Abstract

In this work we consider the boundary value problems for Sturm-Liouville operators with a constant delay  under eigenparameter boundary condition. Under some assumptions, the uniqueness of the inverse specteal problems is proved, where the potential, parameters in boundary conditions and the delay are uniquely determined by two spectra of the different boundary conditions.