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
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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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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/

[1] Dzhangirova S. A., “O mnogotochechnykh zadachakh dlya sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 27:9 (1987), 1375–1380 | MR

[2] Abramov A. A., Ulyanova V. I., Yukhno L. F., “Nelokalnaya zadacha dlya singulyarnoi lineinoi sistemy obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 31:7 (2011), 1228–1235 | MR

[3] Abramov A. A., “O perenose granichnykh uslovii dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii (variant metoda progonki)”, Zh. vychisl. matem. i matem. fiz., 1:3 (1961), 342–345

[4] Abramov A. A., “O chislennoi ustoichivosti odnogo metoda perenosa granichnykh uslovii”, Zh. vychisl. matem. i matem. fiz., 46:3 (2006), 401–406 | MR