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Stability and uniform ultimate boundedness of solutions of a third-order differential equation
This paper is concerned with uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞, when p(t,x,x',x") = 0, are presented.
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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:123456789/8088 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2010 | ||
| 520 | |a This paper is concerned with uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞, when p(t,x,x',x") = 0, are presented. | ||
| 024 | 8 | |a 1311-1728 | |
| 024 | 8 | |a 1314-8060 | |
| 024 | 8 | |a ui_art_ademola_stability_2010 | |
| 024 | 8 | |a International Journal of Applied Mathematics 23(1), pp. 11-22 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8088 | |
| 653 | |a Third-order | ||
| 653 | |a Differential equations | ||
| 653 | |a Stability | ||
| 653 | |a Uniform and ultimate boundedness | ||
| 653 | |a Complete Lyapunov function | ||
| 245 | 0 | 0 | |a Stability and uniform ultimate boundedness of solutions of a third-order differential equation |