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@article{FAA_1975_9_4_a4, author = {V. F. Lazutkin and T. F. Pankratova}, title = {Normal forms and versal deformations for {Hill's} equation}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {41--48}, publisher = {mathdoc}, volume = {9}, number = {4}, year = {1975}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1975_9_4_a4/} }
V. F. Lazutkin; T. F. Pankratova. Normal forms and versal deformations for Hill's equation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 4, pp. 41-48. http://geodesic.mathdoc.fr/item/FAA_1975_9_4_a4/
[1] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR
[2] Smirnov V.I., Kurs vysshei matematiki, t. 3, Nauka, M., 1969 | MR
[3] Yakubovich V.A., Starshinskii V.M., Lineinye differentsialnye uravneniya s periodicheskimi koeffitsientami i ikh prilozheniya, Nauka, M., 1972 | MR
[4] Magnus W. and Winkier S., Hill's equation, Interscience publ., New York, 1966 | MR
[5] Danford N., Shvarts Dzh., Lineinye operatory. Obschaya teoriya, IL, M., 1962
[6] Puankare A., O krivykh, opredelyaemykh differentsialnymi uravneniyami, Gostekhizdat, M.–L., 1947
[7] Arnold V.I., “Malye znamenateli I. Ob otobrazhenii okruzhnosti na sebya”, Izv. AN SSSR, seriya matem., 25 (1961), 21–86 | MR
[8] Mak-Lakhlan N.V., Teoriya i prilozheniya funktsii Mate, IL, M., 1953
[9] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 3, Nauka, M., 1967 | MR
[10] Arnold V.I., “Versalnye semeistva i bifurkatsii differentsialnykh uravnenii”, IX-ya letnyaya matem. shkola, izd. AN USSR, Kiev, 1972, 42–49
[11] Arnold V.I., “O matritsakh, zavisyaschikh ot parametrov”, UMN, XXVI:2 (1971), 101–114 | MR | Zbl