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Stability, boundedness and existence of periodic solutions to certain third order nonlinear differential equations
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...
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| Format: | Article |
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2015
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8101 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Ogundiran, M. O. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2015 | ||
| 520 | |a 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. | ||
| 024 | 8 | |a 0231-9721 | |
| 024 | 8 | |a ui_art_ademola_stability_2015 | |
| 024 | 8 | |a Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54(1), pp. 5-18 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8101 | |
| 653 | |a Third order | ||
| 653 | |a Nonlinear differential equation | ||
| 653 | |a Uniform stability | ||
| 653 | |a Uniform ultimate boundedness | ||
| 653 | |a Periodic solutions | ||
| 245 | 0 | 0 | |a Stability, boundedness and existence of periodic solutions to certain third order nonlinear differential equations |