On the solution of an inverse Sturm-Liouville problem with a delay and eigenparameter dependent boundary conditions

چکیده مقاله

In this paper‎, ‎a boundary value problem consisting of a delay differential equation of Sturm-Liouville type with eigenparameter-dependent boundary conditions are investigated‎. ‎The asymptotic behavior of eigenvalues are studied‎, ‎and the parameter of delay is determined by eigenvalues‎. ‎Then‎, ‎we obtain the connection between the potential function and the canonical form of the characteristic function