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Accessible criteria for the local existence and uniqueness of DAE solutions

Please always quote using this URN:urn:nbn:de:0296-matheon-2223
  • Classical results about the local existence and uniqueness of DAE solutions are based on the derivative array [2] or on a geometrical approach [13]. Thus these results can't be applied to equations with nonsmooth coefficients. Also, sufficient conditions that guarantee solvability are hard to check in general [6, 13]. In this paper a new approach to proving local existence and uniqueness of DAE solutions is presented. The main tool is a decoupling procedure that makes it possible to split DAE solutions into their characteristic parts. Thus it is possible to weaken the smoothness requirements considerably. In order for the decoupling procedure to work we require a certain structural condition to hold. In contrast to results already known, this condition can be easily verified.

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Metadaten
Author:Steffen Voigtmann
URN:urn:nbn:de:0296-matheon-2223
Referee:Caren Tischendorf
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/11/02
Release Date:2005/11/02
Institute:Technische Universität Berlin
Preprint Number:214
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