Geodesic
On systems of two singularly perturbed quasilinear second-order equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 21-28 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A system of two quasilinear second-order equations with a small parameter standing by the second derivatives is studied. The cases where the matrix of coefficients of the first derivatives has the following eigenvalues are considered: (a) both of them have negative real parts; (b) they are of opposite sign; (c) one of them is equal to zero. To find a solution and its asymptotics, the initial-value or boundary-value problems are posed depending on the form of these eigenvalues. 
@article{FPM_2006_12_5_a2,
     author = {A. B. Vasil'eva},
     title = {On systems of two singularly perturbed quasilinear second-order equations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {21--28},
     year = {2006},
     volume = {12},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a2/}
}
TY  - JOUR
AU  - A. B. Vasil'eva
TI  - On systems of two singularly perturbed quasilinear second-order equations
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2006
SP  - 21
EP  - 28
VL  - 12
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a2/
LA  - ru
ID  - FPM_2006_12_5_a2
ER  - 
%0 Journal Article
%A A. B. Vasil'eva
%T On systems of two singularly perturbed quasilinear second-order equations
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2006
%P 21-28
%V 12
%N 5
%U http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a2/
%G ru
%F FPM_2006_12_5_a2
A. B. Vasil'eva. On systems of two singularly perturbed quasilinear second-order equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 21-28. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a2/

[1] Vasileva A. B., “Kontrastnye struktury tipa stupenki v singulyarno vozmuschënnykh differentsialnykh uravneniyakh vtorogo poryadka, lineinogo otnositelno proizvodnykh”, ZhVM i MF, 35:4 (1995), 520–531 | MR

[2] Vasileva A. B., “O sisteme dvukh singulyarno vozmuschënnykh kvazilineinykh uravnenii vtorogo poryadka”, ZhVM i MF, 44:4 (2004), 650–661 | MR

[3] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschënnykh uravnenii, Nauka, M., 1973 | MR

[4] Vasileva A. B., Butuzov V. F., Singulyarno vozmuschënnye uravneniya v kriticheskikh sluchayakh, Izd-vo Mosk. un-ta, M., 1978 | MR