On a method for solving boundary value problems for linear differential algebraic system of equations

A method for solving boundary value problems for linear differential algebraic systems of equations is proposed and examined. The method is based on a sequence of successive transformations of the original system. As a result, a normal system of ordinary differential equations or a system of algebraic equations is obtained. In the first case, one has the corresponding boundary value problem. The solution to this problem or the solution to the system of algebraic equations, in the second case, yields the solution to the original problem.