Geodesic
Solving a system of linear ordinary differential equations with redundant conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 585-590 
A. A. Abramov; L. F. Yukhno. Solving a system of linear ordinary differential equations with redundant conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 585-590. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_4_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A system of linear ordinary differential equations is examined under the assumption that, in addition to the basic conditions, which in general are nonlocal and are specified by a Stieltjes integral, certain redundant (and possibly also nonlocal) conditions are imposed. Generically, such a problem has no solution. A principle for constructing an auxiliary system is proposed. This system replaces the original one and is normally consistent with all the conditions prescribed. A method for solving this auxiliary problem is analyzed. The method is numerically stable if the auxiliary problem is numerically stable.

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