Geodesic
On solvability of delay differential-algebraic equations
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 103-116

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In this paper, linear and quasi-linear systems of delay differential-algebraic equations (DAEs) are considered, connections between the index of the leading part of the delay DAE and the index of the corresponding DAE without delay are found. For quasi-linear DAE, conditions of non-local solvability are discussed.
Keywords: differential-algebraic equations, delay, index. 
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     author = {V. F. Chistyakov},
     title = {On solvability of delay differential-algebraic equations},
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V. F. Chistyakov. On solvability of delay differential-algebraic equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 103-116. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_2_a8/