Geodesic
The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 24-31 
M. R. Ishmeev. The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 24-31. http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a3/
@article{VMJ_2012_14_4_a3,
     author = {M. R. Ishmeev},
     title = {The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {24--31},
     year = {2012},
     volume = {14},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a3/}
}
TY  - JOUR
AU  - M. R. Ishmeev
TI  - The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2012
SP  - 24
EP  - 31
VL  - 14
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a3/
LA  - ru
ID  - VMJ_2012_14_4_a3
ER  - 
%0 Journal Article
%A M. R. Ishmeev
%T The asimptotics of conditionally periodic solution of differential equation containing great high-frequency terms
%J Vladikavkazskij matematičeskij žurnal
%D 2012
%P 24-31
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a3/
%G ru
%F VMJ_2012_14_4_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

It was constructed and justified the full asimptotic of conditionally periodic solution for the systems of non-linear differential equations containing items proportional to some degrees of frequency.

[1] Yudovich V. I., “Vibrodinamika i vibrogeometriya mekhanicheskikh sistem so svyazyami. Chasti I–III”, Uspekhi mekhaniki, 4:3 (2006), 26–158

[2] Basistaya D. A., Levenshtam V. B., “Asimptotika reshenii obyknovennykh differentsialnykh uravnenii s bolshimi vysokochastotnymi slagaemymi”, Izv. vuzov Sev.-Kavk. region. Estestv. nauki, 2004, Spetsvypusk. Matematika i mekhanika sploshnoi sredy, 46–48 | Zbl

[3] Levenshtam V. B., “Asimptoticheskoe integrirovanie differentsialnykh uravnenii s bolshimi vysokochastotnymi slagaemymi”, Dokl. AN, 405:2 (2005), 169–172 | MR | Zbl

[4] Levenshtam V. B., Khatlamadzhiyan G. L., “Rasprostranenie teorii metoda usredneniya na differentsialnye uravneniya, soderzhaschie bystroostsiliruyuschie po vremeni slagaemye”, Izv. vuzov. Matematika, 2006, no. 6, 35–47 | MR | Zbl

[5] Levenshtam V. B., Differentsialnye uravneniya s bolshimi vysokochastotnymi slagaemymi, Izd-vo YuFU, Rostov n/D, 2008, 368 pp.

[6] Levenshtam V. B., “Asimptoticheskie razlozheniya periodicheskikh reshenii obyknovennykh differentsialnykh uravnenii s bolshimi vysokochastotnymi slagaemymi”, Differents. uravneniya, 44:1 (2008), 52–68 | MR | Zbl

[7] Ishmeev M. R., “Asimptotika periodicheskogo resheniya differentsialnogo uravneniya s bolshimi vysokochastotnymi slagaemymi”, Vladikavk. mat. zhurn., 13:3 (2011), 22–35 | MR

[8] Demidovich B. P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR