| Title:
|
Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations (English) |
| Author:
|
ADEMOLA, A. T. |
| Author:
|
OGUNDIRAN, M. O. |
| Author:
|
ARAWOMO, P. O. |
| Language:
|
English |
| Journal:
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
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0231-9721 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
5-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature. (English) |
| Keyword:
|
Third order |
| Keyword:
|
nonlinear differential equation |
| Keyword:
|
uniform stability |
| Keyword:
|
uniform ultimate boundedness |
| Keyword:
|
periodic solutions |
| MSC:
|
34C25 |
| MSC:
|
34D20 |
| MSC:
|
34D40 |
| MSC:
|
65L06 |
| idZBL:
|
Zbl 1356.34046 |
| idMR:
|
MR3468597 |
| . |
| Date available:
|
2015-09-01T08:54:39Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144362 |
| . |
| Reference:
|
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