Inverse spectral problems for Sturm Liouville operators with generalized function

In first section of this seminar, informations about differential operators, Sturm-Liouville Operators and inverse spectral problems are given.In the second section, Some fundamental definitions and theorems that use of often in spectral theory of differential operators are given.In the third chapter, General informations of Sturm-Liouville operators and tranformation operators are examined In the fourth chapter, explanations about straight spectral problems are given theorems, inverse problem formulas and uniqueness theorems. In the fifth chapter, the spectral characteristics of the Sturm-Liouville operator with generalized function coefficients are investigated and the inverse problem is solved.