On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations
In this paper, we show the asymptotic stability of the trivial solution x = 0 for p = 0 and the boundedness as well as the ultimate boundedness result for p ≠ 0 with the use of a single complete Lyapunov function. The results obtained here improve on the results already obtained for this class of th...
Spremljeno u:
| Glavni autor: | |
|---|---|
| Format: | Članak |
| Jezik: | engleski |
| Izdano: |
2014
|
| Teme: | |
| Online pristup: | http://localhost:8080/xmlui/handle/123456789/3500 |
| Oznake: |
Dodaj oznaku
Bez oznaka, Budi prvi tko označuje ovaj zapis!
|
| Sažetak: | In this paper, we show the asymptotic stability of the trivial solution x = 0 for p = 0 and the boundedness as well as the ultimate boundedness result for p ≠ 0 with the use of a single complete Lyapunov function. The results obtained here improve on the results already obtained for this class of third order nonlinear differential equations. |
|---|