Geodesic
Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 385-392 
A. A. Abramov; L. F. Yukhno. Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 385-392. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a2/
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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 on an infinite or semi-infinite interval. The basic conditions are nonlocal and are specified by a Stieltjes integral; moreover, certain redundant (and also nonlocal) conditions are imposed. At infinity, the solution is required to be bounded. A method for solving such an over-determined problem is proposed and analyzed. The method is numerically stable if an auxiliary problem that replaces the original one is numerically stable.

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