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In this article, Lyapunov second method is used to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear differential equations of the third order. The results obtained in this investigation include and extend some well known results on third order nonli...
| Format: | Article |
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2014-03
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8097 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2014-03 | ||
| 520 | |a In this article, Lyapunov second method is used to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear differential equations of the third order. The results obtained in this investigation include and extend some well known results on third order nonlinear differential equations in the literature. | ||
| 024 | 8 | |a 0717-6279 | |
| 024 | 8 | |a ui_art_ademola_on_2014 | |
| 024 | 8 | |a Proyecciones Journal of Mathematics 33(1), pp. 101-122 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8097 | |
| 653 | |a Third order | ||
| 653 | |a Differential equations | ||
| 653 | |a Uniform ultimate boundedness | ||
| 653 | |a Asymptotic behaviour of solutions | ||
| 653 | |a Complete Lyapunov function | ||
| 245 | 0 | 0 | |a On the asymptotic behaviour of solutions of certain differential equations of the third order |