The cubic nonautonomous differential systems, equivalent in sense of coincidence of reflecting functions to embedable systems
Problemy fiziki, matematiki i tehniki, no. 4 (2011), pp. 75-78.

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

Necessary and sufficient conditions for nonautonomous differential system with cubic right-hand side to be equivalent to embedable system in sense of Mironenko were obtained.
Keywords: reflecting function, embedable system, differential system, two-point boundary-value problem.
@article{PFMT_2011_4_a14,
     author = {M. S. Belokursky},
     title = {The cubic nonautonomous differential systems, equivalent in sense of coincidence of reflecting functions to  embedable systems},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {75--78},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_4_a14/}
}
TY  - JOUR
AU  - M. S. Belokursky
TI  - The cubic nonautonomous differential systems, equivalent in sense of coincidence of reflecting functions to  embedable systems
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2011
SP  - 75
EP  - 78
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2011_4_a14/
LA  - ru
ID  - PFMT_2011_4_a14
ER  - 
%0 Journal Article
%A M. S. Belokursky
%T The cubic nonautonomous differential systems, equivalent in sense of coincidence of reflecting functions to  embedable systems
%J Problemy fiziki, matematiki i tehniki
%D 2011
%P 75-78
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2011_4_a14/
%G ru
%F PFMT_2011_4_a14
M. S. Belokursky. The cubic nonautonomous differential systems, equivalent in sense of coincidence of reflecting functions to  embedable systems. Problemy fiziki, matematiki i tehniki, no. 4 (2011), pp. 75-78. http://geodesic.mathdoc.fr/item/PFMT_2011_4_a14/

[1] V. I. Mironenko, “Ob odnom klasse differentsialnykh sistem s elementarnymi resheniyami”, Differentsialnye uravneniya, 4:6 (1968), 1154–1156 | MR | Zbl

[2] V. I. Mironenko, Otrazhayuschaya funktsiya i periodicheskie resheniya differentsialnykh uravnenii, Universitetskoe, Mn., 1986, 76 pp. | MR | Zbl

[3] V. I. Mironenko, Otrazhayuschaya funktsiya i issledovanie mnogomernykh differentsialnykh sistem, UO GGU im. F. Skoriny, Gomel, 2004, 196 pp. | MR

[4] V. I. Mironenko, V. V. Mironenko, “Vozmuscheniya sistem, ne izmenyayuschie vremennykh simmetrii i otobrazheniya Puankare”, Differentsialnye uravneniya, 44:10 (2008), 1347–1352 | MR | Zbl

[5] E. V. Musafirov, “Reflecting function and periodic solutions of differential systems with small parameter”, Indian Jornal of Mathematics, 50:1 (2008), 63–76 | MR | Zbl

[6] V. I. Mironenko, V. V. Mironenko, “How to construct equivalent differential systems”, Applied Mathematic Letters, 22 (2009), 1356–1359 | DOI | MR | Zbl

[7] V. I. Mironenko, “Vremennye simmetrii uravneniya Rikkati”, Problemy fiziki, matematiki i tekhniki, 2010, no. 1 (2), 31–33 | Zbl

[8] V. I. Mironenko, Lineinaya zavisimost funktsii vdol reshenii differentsialnykh uravnenii, Izd-vo BGU im. V. I. Lenina, Mn., 1981, 104 pp. | MR | Zbl

[9] V. I. Arnold, Obyknovennye differentsialnye uravneniya, «Nauka», M., 1971, 240 pp. | MR

[10] V. I. Mironenko, “Metod otrazhayuschei funktsii dlya kraevykh zadach”, Differentsialnye uravneniya, 32:6 (1996), 774–779 | MR | Zbl