Gedif, Tsegaye (PhD)Tesfamariam, Gerensea2018-07-162023-11-042018-07-162023-11-042010-03http://etd.aau.edu.et/handle/123456789/8618In this paper we present a method of fnding eigenvalue and eigenfunction for linear second order elliptic dierential equation using the Fourier method. Then we present more specically for one dimension space called sturmlioville problems. Next Green's function to represent solution for sturmlioville problem and its properties.Finally we present reduction of the Sturm- Liouville Problem to an Integral Equation and properties of sturm-lioville problemenIn this paper we present a method of fnding eigenvalueThesis