Uniqueness Theorem for the Inverse Aftereffect problem and Representation the Nodal Points Form

Abstract

In this paper, we consider
a boundary value problem with aftereffect on a finite interval and
study the asymptotic behavior of the solutions, eigenvalues, the
nodal points and the associated nodal length and calculate the
numerical values of the nodal points and the nodal length. Then, we
prove the uniqueness theorem for the inverse aftereffect problem by
applying any dense subset of the nodal points.