Geodesic
Characterization of classes of singular linear differential-algebraic equations
The electronic journal of linear algebra, Tome 13 (2005), pp. 359-386.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Linear, possibly overor underdetermined, differential-algebraic equations are studied that have the same solution behavior as linear differential-algebraic equations with well-defined strangeness index. In particular, three different characterizations are given for differential-algebraic equations, namely by means of solution spaces, canonical forms, and derivative arrays. Two levels of generalization are distinguished, where the more restrictive case contains an additional assumption on the structure of the set of consistent inhomogeneities.
Classification : 34A09
Keywords: singular differential-algebraic equation, overand underdetermined system, solution space, canonical form, derivative array 
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     title = {Characterization of classes of singular linear differential-algebraic equations},
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Kunkel, Peter; Mehrmann, Volker. Characterization of classes of singular linear differential-algebraic equations. The electronic journal of linear algebra, Tome 13 (2005), pp. 359-386. http://geodesic.mathdoc.fr/item/ELA_2005__13__a2/