Nonlinear differential-algebraic equations with properly formulated leading term

Roswitha März

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

MSC 2000

34A09 Implicit equations, differential-algebraic equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
Abstract

Nonlinear differential-algebraic equations with properly stated leading term of index one and two are characterized. Linearization and the solvability of perturbed problems are considered.

Keywords:Differential-algebraic equations, initial value problems