Geodesic
Approximate methods of solving Cauchy problem for functional-differential equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 79-82.

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We offer a method of approximate solution of abstract functional-differential equation in arbitrary Banah functional spaces. The method is based on substitution an operator of volterra on a close operator, which possesses a property of $\tau$-kvasivolterrovosty. If approximate operator will be chosen properly then from this method we can get new and known methods of solution of concrete functional-differential equations. 
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M. G. Mishina. Approximate methods of solving Cauchy  problem for functional-differential equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 79-82. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a17/

[1] Zhukovskii E. S., “Nelineinoe uravnenie Volterra v banakhovom funktsionalnom prostranstve”, Izv. vuzov. Matematika, 2005, no. 10 (521), 17–28 | MR

[2] Maksimov V. P., “O predelnom perekhode v kraevykh zadachakh dlya funktsionalno-differentsialnykh uravnenii”, Differentsialnye uravneniya, 17:11 (1981), 1984–1994 | MR | Zbl