Geodesic
An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 914-937 
D. S. Dzhumabaev. An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 914-937. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a6/
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     title = {An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Family of algorithms for solving a linear two-point boundary value problem is constructed in terms of the data of the integrodifferential equation and the boundary condition involved. The convergence conditions for the algorithms are established, and necessary and sufficient conditions for the well-posedness of the problem are found.

[1] Dzhumabaev D. S., “Ob odnom metode resheniya lineinoi kraevoi zadachi dlya integrodifferentsialnogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 50:7 (2010), 1209–1221 | MR | Zbl

[2] Dzhumabaev D. S., “Priznaki odnoznachnoi razreshimosti lineinoi kraevoi zadachi dlya obyknovennogo differentsialnogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 29:1 (1989), 50–66 | MR | Zbl

[3] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl