| Title:
|
On asymptotic properties of a strongly nonlinear differential equation (English) |
| Author:
|
Adamec, Ladislav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
121-126 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper describes asymptotic properties of a strongly nonlinear system $\dot{x}=f(t,x)$, $(t,x)\in \mathbb{R}\times \mathbb{R}^n$. The existence of an $\lfloor {}n/2\rfloor $ parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation. (English) |
| Keyword:
|
ordinary differential equations |
| Keyword:
|
asymptotic properties |
| MSC:
|
34D05 |
| MSC:
|
34D99 |
| MSC:
|
34E99 |
| idZBL:
|
Zbl 1079.34528 |
| idMR:
|
MR1814637 |
| . |
| Date available:
|
2009-09-24T10:40:27Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127631 |
| . |
| Reference:
|
[Bartusek:1992] M. Bartušek: On Oscillatory Solutions of Differential Inequalities.Czechoslovak Math. J. 42 (117) (1992), 45–51. MR 1152168 |
| Reference:
|
[Hartman] Ph. Hartman: Ordinary Differential Equations.John Wiley, New York-London-Sydney, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[Kiguradze-Chanturia:1990] I. T. Kiguradze and T. A. Chanturiya: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations.Moskva, Nauka, 1990. (Russian) |
| . |
