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Generalization of some qualitative behaviour of Solutions of third order nonlinear differential equations
Criteria for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of the most general third order nonlinear differential equations with the restoring nonlinear terms depending explicitly on the independent real variable t are established. The...
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2012
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8095 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2012 | ||
| 520 | |a Criteria for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of the most general third order nonlinear differential equations with the restoring nonlinear terms depending explicitly on the independent real variable t are established. The construction a complete Lyapunov function, Lyapunov’s second method, the technique introduced by Antoisewicz [9] and the limit point of Yoshizawa [29] are used to obtain the results. The most recent results of Ademola and Arawomo [1, 2, 3, 4] and results on third order nonlinear differential equations which have been discussed in [18] are particular cases of our results. | ||
| 024 | 8 | |a 1817-2172 | |
| 024 | 8 | |a ui_art_ademola_generalization_2012 | |
| 024 | 8 | |a Differential Equations and Control Processes 1 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8095 | |
| 653 | |a Third order nonlinear differential equations | ||
| 653 | |a Uniform asymptotic stability | ||
| 653 | |a Boundedness | ||
| 653 | |a Asymptotic behaviour of solutions | ||
| 245 | 0 | 0 | |a Generalization of some qualitative behaviour of Solutions of third order nonlinear differential equations |