The analytical solutions of the boundary-value problems by the method of factorization

The differential factorization method developed by previously [1,2] is applied to boundary-value problems for the analytical method [3]. There problems are convenient for comparing different methods of their solution and demonstrate great potentialities of the differential factorization method. It is important to note that these problems include cases involving the main types of roots (simple and double zeros) of the determinants of characteristic equations of the corresponding differential equations. © 2015, Institute of Problems of Mechanical Engineering.