Construction of periodic solutions with a given accuracy by the method of the small parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 5, pp. 728-733 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1998_38_5_a4,
     author = {Kh. I. Botashev},
     title = {Construction of periodic solutions with a given accuracy by the method of the small parameter},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {728--733},
     year = {1998},
     volume = {38},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_5_a4/}
}
TY  - JOUR
AU  - Kh. I. Botashev
TI  - Construction of periodic solutions with a given accuracy by the method of the small parameter
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 728
EP  - 733
VL  - 38
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_5_a4/
LA  - ru
ID  - ZVMMF_1998_38_5_a4
ER  - 
%0 Journal Article
%A Kh. I. Botashev
%T Construction of periodic solutions with a given accuracy by the method of the small parameter
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 728-733
%V 38
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_5_a4/
%G ru
%F ZVMMF_1998_38_5_a4
Kh. I. Botashev. Construction of periodic solutions with a given accuracy by the method of the small parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 5, pp. 728-733. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_5_a4/

[1] Ter-Krikorov A. M., “Nelineinye zadachi i malyi parametr”, Novoe v zhizni, nauke, tekhn. Ser. Matem. kibernetika, 3, Znanie, M., 1984 | MR

[2] Andronov A. A., Vitt A. A., Khaikin S. E., Teoriya kolebanii, Izd. 2-e, Fizmatgiz, M., 1953

[3] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Fizmatgiz, M., 1958

[4] Mandelshtam L. I., Polnoe sobranie trudov, v. 1–5, Izd-vo AN SSSR, M., 1947–1956

[5] Ryabov Yu. A., “Ob otsenke oblasti primenimosti metoda malogo parametra v zadachakh teorii nelineinykh kolebanii”, Tr. Mezhdunar. simpoziuma po nelineinym kolebaniyam, v. 1, Izd-vo AN USSR, Kiev, 1963, 425–445

[6] Botashev Kh. I., “Otsenki malogo parametra v zadachakh teorii nelineinykh kolebanii”, Vychisl. i prikl. matem., 46, Kiev, 1982, 66–71 | MR | Zbl

[7] Khayasi T., Nelineinye kolebaniya v fizicheskikh sistemakh, Mir, M., 1968

[8] Blekhman N. I., Myshkis A. D., Panovka Ya. G., Prikladnaya matematika: predmet, logika, osobennosti podkhodov, Nauk. dumka, Kiev, 1976

[9] Cesari L., “Functional analysis and periodic solutions of nonlinear differential equations”, Contributions Different. Equat., 1, Wiley, New York, 1963, 149–187 | MR

[10] Cesari L., “Functional analysis and Galerkin's method”, Michigan Math. J., 11, McGraw Hill, New York, 1964, 385–414 | MR

[11] Urabe M., “Galerkin's procedure for nonlinear periodic systems”, Arch. Ration. Mech. and Analys., 20:2 (1965), 120–152 | MR | Zbl

[12] Urabe M., Reiter F., “Numerical computation of nonlinear forced oscillations by Galerkin's procedure”, J. Math. Analys. and Applic., 14:1 (1966), 107–140 | DOI | MR | Zbl

[13] Halanay A., Differential equations. Stability, oscillations, time lags, Acad. Press, New York–London, 1966 | Zbl

[14] Malkin I. G., Nekotorye zadachi teorii nelineinykh kolebanii, Gostekhteorizdat, M., 1956