Inverse problem for the Sturm-Liouville operator on the parameter matrix

This thesis consists of three chapters. In chapter one, some concepts which are used in this thesis are given and some fundamental properties of Sturm-Liouville operator are examined. In chapter two, Ambarzumyan?s theorem for Sturm-Liouville eigenvalue problem with spectral parameter in boundary condition is expressed and proved. In chapter three, Ambarzumyan?s theorem for n- dimensional matrix valued Sturm-Liouville eigenvalue problem with spectral parameter in boundary condition is given.