Solvability of linear differential algebraic equations with properly stated leading terms

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

MSC 2000

34A09 Implicit equations, differential-algebraic equations

34A30 Linear equations and systems, general

Abstract
In this paper, general solvability statements on linear continuous coefficient differential algebraic equations with properly stated leading terms are derived by means of decoupling projector functions decomposing the differential algebraic equation into its characteristic components.

Keywords: differential algebraic equations, regularity, tractability index, initial value problem