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

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.

MSC:

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