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...
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2014
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| author | Ogundare, B. S. |
| author_facet | Ogundare, B. S. |
| author_sort | Ogundare, B. S. |
| collection | DSpace |
| description | 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. |
| format | Article |
| id | oai:ir.oauife.edu.ng:123456789-3500 |
| institution | My University |
| language | English |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oai:ir.oauife.edu.ng:123456789-35002023-05-13T11:10:47Z On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations Ogundare, B. S. Differential equation Third order differential equation 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 third order nonlinear differential equations. 2014-09-02T14:05:21Z 2018-10-29T11:15:39Z 2014-09-02T14:05:21Z 2018-10-29T11:15:39Z 2006 Article Ogundare, B. S. (2006). On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations. Kragujevac J. Math., 29: 37 - 48 http://localhost:8080/xmlui/handle/123456789/3500 en PDF application/pdf |
| spellingShingle | Differential equation Third order differential equation Non-linear differential equations Ogundare, B. S. On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title | On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title_full | On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title_fullStr | On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title_full_unstemmed | On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title_short | On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations |
| title_sort | on the boundedness and the stability results for the solutions of certain third order non linear differential equations |
| topic | Differential equation Third order differential equation Non-linear differential equations |
| url | http://localhost:8080/xmlui/handle/123456789/3500 |
| work_keys_str_mv | AT ogundarebs ontheboundednessandthestabilityresultsforthesolutionsofcertainthirdordernonlineardifferentialequations |