On a method for solving the boundary value problem for linear differential algebraic system of equations. (Russian, English) Zbl 1082.34500

Abramov, A. A.; Ul’yanova, V. I.; Yukhno, L. F.

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 7, 1192-1195 (2005); translation in Comput. Math. Math. Phys. 45, No. 7, 1151-1154 (2005).

The authors propose and investigate a method to solve boundary value problems for linear differential-algebraic equations. This method is based via a set of consecutive transforms of the original system. These transforms produce either a system of ordinary differential equations or a system of algebraic equations. In the first case, a corresponding boundary problem emerges. A solution to this boundary problem is a solution of the original problem. If an algebraic system is a result of the above transforms, a solution to this system is a solution of the original system as well.

Reviewer: Andrei Zemskov (Moskva)

MSC:

34A09	Implicit ordinary differential equations, differential-algebraic equations
34B05	Linear boundary value problems for ordinary differential equations

Keywords:

differential-algebraic equations; linear boundary problem; Cauchy problem; rank of matrix