Reconstruction of the Sturm-Liouville Operator From Nodal Data

Abstract

In this study, inverse nodal problem stadied for second order differential operators on a finite interval with discontinıity conditions inside the interval. For each discontinuity point d∈ℜ={rπ,r∈(0,1)∩ℚ}, the existence of the solution of the inverse nodal problem has been proven and a constructive prosedure for the solution is provided.