| Title:
|
On a perturbed nonlinear third order differential equation (English) |
| Author:
|
Greguš, M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
121-126 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4]. (English) |
| Keyword:
|
asymptotic properties |
| Keyword:
|
nonlinear equation |
| Keyword:
|
perturbed third order differential equation |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 0914.34028 |
| idMR:
|
MR1464306 |
| . |
| Date available:
|
2008-06-06T21:32:48Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107602 |
| . |
| Reference:
|
[1] M. Cecchi, M. Marini: On the Oscillatory Behaviour of a Third Order Nonlinear Differential Equation.Nonlinear Anal., 15 (1990), 141-153. MR 1065248 |
| Reference:
|
[2] J. D. C. Ezeilo: Stability Results for the Solutions of Some Third and Fourth Order Differential Equations.Ann. Mat. Pura Appl. 66 (1964), 233-249. Zbl 0126.30403, MR 0173831 |
| Reference:
|
[3] M. Greguš: Third Order Linear Differential Equations.D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, 1987. MR 0882545 |
| Reference:
|
[4] M. Greguš, M. Greguš, Jr.: Asymptotic Properties of Solutions of a Certain Nonautonomous Nonlinear Differential Equation of the Third Order.Bolletino U.M.I., (7) 7-A (1993), 341-350. MR 1249110 |
| Reference:
|
[5] M. Ráb: Asymptotische Eigenschaften der Lösungen linearer Differentialgleichungen dritter Ordnung.Spisy PřF MU Brno, 379, 1956, 1-14. MR 0096015 |
| Reference:
|
[6] M. Zlámal: Asymptotic Properties of the Solutions of the Third Order Linear Differential Equations.Spisy PřF MU Brno, 1951, 159-167. MR 0057412 |
| . |
