Gedif, Tsegaye (PhD)Sahelu, Wondimagegnehu2019-09-202023-11-092019-09-202023-11-092014-08-12http://10.90.10.223:4000/handle/123456789/19151In this paper we present Inner product space ,orthogonality ,series ,Fourier series ,parameter form of Bessel equation and the Sturm-Liouville Theory to nd eigenvalue and eigenfunction ,eigenfunction expansion and at last apply Sturm-Liouville Theory to the oscillation of hanging chain ,elastic vibrations and buckling beams.enOn Sturm-LiouvilleApplicationsPreliminariesSturm-LiouvilleThesis