An approach to the numerical integration of the Cauchy problem for delay differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 10, pp. 1547-1556 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {A. V. Kopylov and E. B. Kuznetsov},
     title = {An approach to the numerical integration of the {Cauchy} problem for delay differential equations},
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A. V. Kopylov; E. B. Kuznetsov. An approach to the numerical integration of the Cauchy problem for delay differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 10, pp. 1547-1556. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_10_a7/

[1] Jackiewicz Z., Kwapisz M., “The numerical solution of functional differential equations, a survey”, Rocz. PTM. Ser. 3, 33 (1991), 57–78 | MR | Zbl

[2] Kholl Dzh., Uatt Dzh., Sovremennye chislennye metody resheniya obyknovennykh differentsialnykh uravnenii, Mir, M., 1979

[3] Shalashilin V. I., Kuznetsov E. B., Metod prodolzheniya resheniya po parametru i nailuchshaya parametrizatsiya v prikladnoi matematike i mekhanike, Editorial URSS, M., 1999 | MR

[4] Kuznetsov E. B., “Preobrazovanie uravnenii s zapazdyvayuschim argumentom k nailuchshemu argumentu”, Matem. zametki, 63:1 (1998), 62–68 | MR | Zbl

[5] Elsgolts L. E., Norkin S. B., Vvedenie v teoriyu differentsialnykh uravnenii s otklonyayuschimsya argumentom, Nauka, M., 1971 | MR

[6] Feldstein A., Neves K. W., “High order methods for state-dependent delay differential equations with nonsmooth solutions”, SIAM J. Numer. Analys., 21 (1984), 844–863 | DOI | MR | Zbl

[7] Arushanyan O. B., Zaletkin S. F., Chislennoe reshenie obyknovennykh differentsialnykh uravnenii na fortrane, Izd-vo MGU, M., 1990 | MR | Zbl