Characterizing differential algebraic equations without the use of derivative arrays

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

MSC 2000

34A09 Implicit equations, differential-algebraic equations

Abstract
For a large class of differential algebraic equations with properly stated leading terms and nonsmooth data, an index characterization in terms of the original coefficients and their only first partial derivatives is given. No higher derivatives are used, but serveral constant rank conditions appear to be essential.

Keywords: differential algebraic equations, tractability index, linearization