According to the two spectrum identification stability of sturm-liouville operator

In the first chapter some properties including fundamental definitions and theorems often used in thesis and spectral theory of differential operators. In the second chapter; according to the spectral function were investigated stability for Sturm-Liouville operators. In the third chapter; for differential operators defined conversion operator and has been proven simple features.Also have shown the existence of transformation operators and and some applications are described for Sturm-Liouville operators. In the fourth chapter; by two spectra is examined identifying of normalized number In the fifth chapter; by two spectral identification have proved some results on stability of Sturm-Liouville operators. Key Words: Sturm-Liouville equation, spectrum, spectral function, transformation operator.