Geodesic
A solution method for a nonlocal problem for a system of linear differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1752-1755 
A. A. Abramov; L. F. Yukhno. A solution method for a nonlocal problem for a system of linear differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1752-1755. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a system of linear ordinary differential equations supplemented by a linear nonlocal condition specified by the Stieltjes integral, a solution method is examined. Unlike the familiar methods for solving problems of this type, the proposed method does not use any specially chosen auxiliary boundary conditions. This method is numerically stable if the original problem is numerically stable.

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[7] Abramov A. A., Ulyanova V. I., Yukhno L. F., “Metod resheniya nelineinoi nesamosopryazhennoi spektralnoi zadachi dlya nekotorykh sistem lineinykh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 44:1 (2004), 104–110