@article{SM_1992_71_1_a1,
author = {Yu. M. Kabanov and S. M. Pergamenshchikov},
title = {Singular perturbations of stochastic differential equations},
journal = {Sbornik. Mathematics},
pages = {15--27},
year = {1992},
volume = {71},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_71_1_a1/}
}
Yu. M. Kabanov; S. M. Pergamenshchikov. Singular perturbations of stochastic differential equations. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 15-27. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a1/
[1] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR | Zbl
[2] Khasminskii R. Z., “O sluchainykh protsessakh, opredelyaemykh stokhasticheskimi differentsialnymi uravneniyami s malym parametrom”, Teoriya veroyatnostei i ee primeneniya, 11:2 (1966), 240–259
[3] Gikhman I. I., Skorokhod A. V., Stokhasticheskie differentsialnye uravneniya, Naukova dumka, Kiev, 1982, S. 356 | MR
[4] Venttsel A. D., Freidlin M. I., Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmuschenii, Nauka, M., 1979 | MR | Zbl
[5] Tikhonov A. N., “O sistemakh differentsialnykh uravnenii, soderzhaschikh parametry”, Matem. sb., 27(69) (1960), 147–156
[6] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR
[7] Lomov S. A., Vvedenie v obschuyu teoriyu singulyarnykh vozmuschenii, Nauka, M., 1981 | MR
[8] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov, Nauka, M., 1974 | MR | Zbl