Uniqueness of the solution to the inverse problem of scattering theory for spectral parameter polynomially dependent Kleın-Gordon s-wave equation

Abstract

In the present work, the inverse problem of the scattering theory for Klein-Gordon s-wave equation with a spectral parameter in the boundary condition is investigated. We define the scattering data set, and obtain the main equation of operator. Furthermore, the uniqueness of the solution of the inverse problem is proved.