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Uniform stability and boundedness of solutions of nonlinear delay differential equations of the third order
In this paper, a complete Lyapunov functional was constructed and used to obtain criteria (when p = 0) for uniform asymptotic stability of the zero solution of the nonlinear delay differential equation (1.1). When p ≠ 0, sufficient conditions are also established for uniform boundedness and uniform...
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2013
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8096 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2013 | ||
| 520 | |a In this paper, a complete Lyapunov functional was constructed and used to obtain criteria (when p = 0) for uniform asymptotic stability of the zero solution of the nonlinear delay differential equation (1.1). When p ≠ 0, sufficient conditions are also established for uniform boundedness and uniform ultimate boundedness of solutions of this equation. Our results improve and extend some well known results in the literature. | ||
| 024 | 8 | |a 0030-1566 | |
| 024 | 8 | |a ui_art_ademola_uniform_2013 | |
| 024 | 8 | |a Mathematical Journal of Okayama University 55, pp. 157–166 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8096 | |
| 245 | 0 | 0 | |a Uniform stability and boundedness of solutions of nonlinear delay differential equations of the third order |