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Boundedness results for a certain third order nonlinear differential equation
Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement...
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| Format: | Article |
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2010
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8090 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Ogundiran, M. O. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 720 | |a Adesina, O. A. |e author | ||
| 260 | |c 2010 | ||
| 520 | |a Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement some well known results on the third order differential equations in the literature. | ||
| 024 | 8 | |a 1873-5649 | |
| 024 | 8 | |a 0096-3003 | |
| 024 | 8 | |a ui_art_ademola_boundedness_2010 | |
| 024 | 8 | |a Applied Mathematics and Computation 216, pp. 3044–3049 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8090 | |
| 653 | |a Bounded solutions | ||
| 653 | |a Ultimate bounded solution | ||
| 653 | |a Lyapunov functions | ||
| 653 | |a Third order differential equations | ||
| 245 | 0 | 0 | |a Boundedness results for a certain third order nonlinear differential equation |