On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 593-604
A singularly perturbed system of second-order quasilinear ordinary differential equations with a small parameter multiplying the second derivatives is examined in the case where the coefficient matrix of the first derivatives is singular and does not depend on the unknown functions.
@article{ZVMMF_2006_46_4_a4,
author = {A. B. Vasil'eva and O. I. Panteleeva},
title = {On a~system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {593--604},
year = {2006},
volume = {46},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a4/}
}
TY - JOUR AU - A. B. Vasil'eva AU - O. I. Panteleeva TI - On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 593 EP - 604 VL - 46 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a4/ LA - ru ID - ZVMMF_2006_46_4_a4 ER -
%0 Journal Article %A A. B. Vasil'eva %A O. I. Panteleeva %T On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 593-604 %V 46 %N 4 %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a4/ %G ru %F ZVMMF_2006_46_4_a4
A. B. Vasil'eva; O. I. Panteleeva. On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 593-604. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a4/
[1] Vasileva A. B., “O sisteme dvukh singulyarno vozmuschennykh kvazilineinykh uravnenii vtorogo poryadka”, Zh. vychisl. matem. i matem. fiz., 44:4 (2004), 650–661 | MR
[2] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR
[3] Vasileva A. B., Butuzov V. F., Singulyarno vozmuschennye uravneniya v kriticheskikh sluchayakh, Izd-vo MGU, M., 1978 | MR