Geodesic
Application of perturbation theory to the solvability analysis of differential algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 958-969 
A. A. Boichuk; A. A. Pokutnyi; V. F. Chistyakov. Application of perturbation theory to the solvability analysis of differential algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 958-969. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the desired vector function are considered. The structure of general solutions is discussed. A special case of perturbed systems is studied by applying the Vishik–Lyusternik method.

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