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Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order
Criteria are established for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of certain third order nonlinear differential equations with the restoring nonlinear terms depend on t and multiplied by functions of t. By constructing a comple...
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2011
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8091 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2011 | ||
| 520 | |a Criteria are established for uniform asymptotic stability, boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of certain third order nonlinear differential equations with the restoring nonlinear terms depend on t and multiplied by functions of t. By constructing a complete Lyapunov function, Lyapunov second method, the technique of Antoisewicz [8] and the limit point of Yoshizawa [22] are employed to obtain the results. Recent results on third order nonlinear differential equations and the results which have been discussed in [16] are special cases of our results. | ||
| 024 | 8 | |a 1450-9628 | |
| 024 | 8 | |a ui_art_ademola_stability_2011 | |
| 024 | 8 | |a Kragujevac Journal of Mathematics 35(3), pp. 431-445 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8091 | |
| 653 | |a Third order differential equations | ||
| 653 | |a Uniform asymptotic stability | ||
| 653 | |a Uniform ultimate boundedness | ||
| 653 | |a Complete Lyapunov function | ||
| 653 | |a Asymptotic behaviour | ||
| 245 | 0 | 0 | |a Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order |