Approximate methods of solving Cauchy problem for functional-differential equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 79-82
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{IIMI_2006_2_a17,
author = {M. G. Mishina},
title = {Approximate methods of solving {Cauchy} problem for functional-differential equations},
journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
pages = {79--82},
year = {2006},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIMI_2006_2_a17/}
}
TY - JOUR AU - M. G. Mishina TI - Approximate methods of solving Cauchy problem for functional-differential equations JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2006 SP - 79 EP - 82 IS - 2 UR - http://geodesic.mathdoc.fr/item/IIMI_2006_2_a17/ LA - ru ID - IIMI_2006_2_a17 ER -
%0 Journal Article %A M. G. Mishina %T Approximate methods of solving Cauchy problem for functional-differential equations %J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta %D 2006 %P 79-82 %N 2 %U http://geodesic.mathdoc.fr/item/IIMI_2006_2_a17/ %G ru %F IIMI_2006_2_a17
M. G. Mishina. Approximate methods of solving Cauchy problem for functional-differential equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 79-82. http://geodesic.mathdoc.fr/item/IIMI_2006_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