Geodesic
Using a computer to obtain strict bounds on solutions of differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 7, pp. 994-1005 
A. F. Filippov. Using a computer to obtain strict bounds on solutions of differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 7, pp. 994-1005. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_7_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Lozinskii S. M., “Primenenie chislennogo integrirovaniya dlya polucheniya strogoi informatsii o raspolozhenii integralnykh krivykh differentsialnykh uravnenii nekotorogo klassa”, Vestn. LGU. Ser. matem., mekhan., astron., 1961, no. 1 (1), 71–79 | MR

[2] Lozinskii S. M., “Nedostatochnye i izbytochnye metody chislennogo integrirovaniya obyknovennykh differentsialnykh uravnenii”, Vestn. LGU. Ser. matem., mekhan., astron., 1967, no. 7 (2), 74–86 | MR

[3] Berezin I. S., Zhidkov N. P., Metody vychislenii, v. 2, Fizmatgiz, M., 1960

[4] Bakhvalov N. S., “K otsenke oshibki pri chislennom integrirovanii differentsialnykh uravnenii ekstrapolyatsionnym metodom Adamsa”, Dokl. AN SSSR, 104:5 (1955), 683–686 | Zbl

[5] Babushka I., Vitasek E., Prager M., Chislennye protsessy resheniya differentsialnykh uravnenii, Mir, M., 1969 | MR

[6] Kalmykov S. A., Shokin Yu. I., Yuldashev Z. Kh., “K resheniyu obyknovennykh differentsialnykh uravnenii intervalnymi metodami”, Dokl. AN SSSR, 230:6 (1976), 1267–1270 | MR | Zbl

[7] Nickel K. L. E., “Using interval methods for the numerical solutions of ODE's”, Z. angew. Math. und Mech., 66:11 (1986), 513–523 | DOI | MR | Zbl

[8] Moore R. E., “A survey of interval methods for differential equations”, Proc. 23-rd IEEE Conf. Decis. and Control (Las Vegas, 12–14 Dec., 1984), v. 3, N. Y., 1984, 1529–1535