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Stability, Boundedness and periodic solutions to certain second order delay differential equations
Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov’s direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonline...
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| Format: | Article |
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2017-06
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8103 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 720 | |a Idowu, A. S. |e author | ||
| 260 | |c 2017-06 | ||
| 520 | |a Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov’s direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results. | ||
| 024 | 8 | |a 0717-6279 | |
| 024 | 8 | |a ui_art_ademola_stability_2017 | |
| 024 | 8 | |a Proyecciones Journal of Mathematics 36(2), pp. 257-282 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8103 | |
| 653 | |a Second order | ||
| 653 | |a Nonlinear differential equation | ||
| 653 | |a Uniform stability | ||
| 653 | |a Uniform ultimate boundedness | ||
| 653 | |a Existence of a unique periodic solutions | ||
| 245 | 0 | 0 | |a Stability, Boundedness and periodic solutions to certain second order delay differential equations |