Geodesic
Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem
Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 3, pp. 30-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{FAA_1972_6_3_a4,
     author = {Yu. S. Ilyashenko},
     title = {Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {30--37},
     year = {1972},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1972_6_3_a4/}
}
TY  - JOUR
AU  - Yu. S. Ilyashenko
TI  - Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1972
SP  - 30
EP  - 37
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/FAA_1972_6_3_a4/
LA  - ru
ID  - FAA_1972_6_3_a4
ER  - 
%0 Journal Article
%A Yu. S. Ilyashenko
%T Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1972
%P 30-37
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/FAA_1972_6_3_a4/
%G ru
%F FAA_1972_6_3_a4
Yu. S. Ilyashenko. Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem. Funkcionalʹnyj analiz i ego priloženiâ, Tome 6 (1972) no. 3, pp. 30-37. http://geodesic.mathdoc.fr/item/FAA_1972_6_3_a4/

[1] Nemytskii V.V., Stepanov V.V., Kachestvennaya teoriya differentsialnykh uravnenii, Gostekhizdat, M.-L., 1949 | MR

[2] Arnold V.I., “O lokalnykh zadachakh analiza”, Vestnik MGU, seriya matem., 2 (1970), 52–56 | MR

[3] Petrovskii I.G., Landis E.M., “O chisle predelnykh tsiklov uravneniya $\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$, gde $P$ i $Q$ – mnogochleny vtoroi stepeni”, Matem. sb., 37:2 (1955), 209–250 | MR

[4] Ilyashenko Yu.S., “Vozniknovenie predelnykh tsiklov pri vozmuschenii uravneniya $\frac{dw}{dz}=-\frac{R_z}{R_w}$, gde $R(z,w)$ – mnogochlen”, Matem. sb., 78 (1969), 360–373