| Title:
|
Asymptotic representations of solutions of the nonautonomous ordinary differential $n$-th order equations (English) |
| Author:
|
Elshour, Mousa Jaber Abu |
| Author:
|
Evtukhov, Vjacheslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
1-12 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Asymptotic representations of some classes of solutions of nonautonomous ordinary differential $n$-th order equations which somewhat are close to linear equations are established. (English) |
| Keyword:
|
nonlinear differential equations |
| Keyword:
|
$P_\omega (\lambda _0)$-solutions |
| Keyword:
|
asymptotic beaviour |
| Keyword:
|
regularly varying functions |
| MSC:
|
26A12 |
| MSC:
|
34A34 |
| MSC:
|
34C11 |
| MSC:
|
34E10 |
| idZBL:
|
Zbl 06738494 |
| idMR:
|
MR3636677 |
| DOI:
|
10.5817/AM2017-1-1 |
| . |
| Date available:
|
2017-03-23T10:00:54Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146069 |
| . |
| Reference:
|
[1] Evtukhov, V.M.: Asymptotic representations of solutions of nonautonomous ordinary differential equations.Doctoral (Phys.-Math.) Dissertation, Kiev (1998). |
| Reference:
|
[2] Evtukhov, V.M., Elshour, Mousa Jaber Abu: Asymptotic behaviour of solutions of the nonautonomous ordinary differential $n$-th order equations.Nonlinear Oscillations 19 (1) (2016), 22–31. MR 3669587 |
| Reference:
|
[3] Evtukhov, V.M., Samoilenko, A.M.: Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point.Ukrainian Math. J. 60 (1) (2010), 56–86. Zbl 1224.35033, MR 2888579, 10.1007/s11253-010-0333-7 |
| Reference:
|
[4] Evtukhov, V.M., Samoilenko, A.M.: Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities.Differ. Uravn. 47 (5) (2011), 628–650. Zbl 1242.34092, MR 2918280 |
| Reference:
|
[5] Kiguradze, I.T., Chanturia, T.A.: Asymptotic properties of solutions of nonautonomous ordinary differential equations.Kluwer Academic Publishers Group Dordrecht, 1993. Zbl 0782.34002, MR 1220223 |
| Reference:
|
[6] Seneta, E.: Regularly Varying Functions.Berlin Springer-Verlag, 1976, Translated under the title Pravil'no menyayushchiesya funktsii, Moscow Nauka, 1985. Zbl 0324.26002, MR 0815924 |
| . |
