Inverse nodal problem for Sturm-Liouville operator depending on eigen parameter

This thesis is arranged in four chapters.In the first chapter, some basic concepts used in this thesis were demonsrated and general properties of Sturm-Liouville operators, some theorems and lemmas that are concerning eigenvalues and eigenfunctions of these operators were given.In the second chapter, it has been shown that the potential function q and all its derivatives, as well as the boundary conditions of the Sturm--Liouville problem can be reconstructed by using nodal points of the eigenfunctions.In the third chapter, it has been shown that the potential function q and all its derivatives, as well as the boundary conditions of the Sturm--Liouville problem depending on eigen parameter can be reconstructed by using nodal points of the eigenfunctions.Key Words: Sturm-Liouville equation, Prüfer Substitution, Inverse nodal problem.