@article{FAA_1989_23_4_a5,
author = {A. N. Kuznetsov},
title = {Existence of solutions entering at a singular point of an autonomous system having a formal solution},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {63--74},
year = {1989},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a5/}
}
TY - JOUR AU - A. N. Kuznetsov TI - Existence of solutions entering at a singular point of an autonomous system having a formal solution JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1989 SP - 63 EP - 74 VL - 23 IS - 4 UR - http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a5/ LA - ru ID - FAA_1989_23_4_a5 ER -
A. N. Kuznetsov. Existence of solutions entering at a singular point of an autonomous system having a formal solution. Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 4, pp. 63-74. http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a5/
[1] Bryuno A.D., “Asimptotiki reshenii nelineinykh sistem differentsialnykh uravnenii”, DAN SSSR, 143:4 (1962), 763–766 | Zbl
[2] Bryuno A.D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979 | MR
[3] Burbaki N., Funktsii deistvitelnogo peremennogo, Nauka, M., 1965 | MR
[4] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968
[5] Ganning R., Rossi X., Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1969 | MR
[6] Kozlov V.V., Palamodov V.P., “Ob asimptoticheskikh resheniyakh uravnenii klassicheskoi mekhaniki”, DAN SSSR, 263:2 (1982), 285–289 | MR | Zbl
[7] Kuznetsov A.N., “Differentsiruemye resheniya vyrozhdayush;ikhsya sistem obyknovennykh uravnenii”, Funktsion. analiz i ego pril., 6:2 (1972), 41–51 | MR | Zbl
[8] Malgrange B., “Sur les points singuliers reguliers des equations differentielles”, Enseign. Math., 20 (1976), 147–176 | MR
[9] Malgranzh B., Idealy differentsiruemykh funktsii, Mir, M., 1968