Inverse Scatterıng Problems For Energy-Dependent Sturm-Lıouvılle Equatıons Wıth Poınt Delta-Interactıon And Eıgenparameter-Dependent Boundary Condıtıon

Abstract

We consider an inverse problem of the scattering theory for energy-dependent Sturm-Liouville equations on the half line [0; +infinity) with point delta-interaction and eigenparameter-dependent boundary condition. We define the scattering data of the problem first, then consider the basic equation and study an algorithm for finding the potentials with the given scattering data.