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Preprint 16-2006

Weak formulations of linear differential-algebraic systems

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Author(s) : Peter Kunkel , Volker Mehrmann , Michael Schmidt , Ingo Seufer , Andreas Steinbrecher

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 16-2006

MSC 2000

65L05 Initial value problems
34H05 Control problems

Abstract :
We discuss different weak formulations for systems of linear differential-algebraic equations with variable coefficients. These weak formulations include systems with factored or properly stated leading term, strangeness-free system, a distributional formulation and a weak formulation in terms of Sobolev spaces.

Keywords : differential-algebraic equation, weak formulation, index reduction, properly stated leading term, strangeness index, distributional formulation

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