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ir.bowen.edu.ng:8181/jspui/handle/123456789/1220| Title: | Uniform stability, boundedness and asymptotic behaviour of solutions of some third order nonlinear delay differential equations. |
| Authors: | Ademola, A. T. Arawomo, P. O. Ogunlaran, O. M. Oyekan, E. A. |
| Keywords: | Third order Nonlinear differential equation Uniform stability and ultimate boundedness Asymptotic behaviour Complete Lyapunov functional |
| Issue Date: | 2013 |
| Citation: | Ademola, A.T., Arawomo, P. O., Ogunlaran, O. M. & Oyekan, E. A. (2013). Uniform stability, boundedness and asymptotic behaviour of solutions of some third order nonlinear delay differential equations. Journal of Differential Equations and Control Processes, 4, 43-66. |
| Abstract: | In this paper, sufficient conditions are established for uniform asymptotic stability of the trivial solutions, uniform boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of some third order nonlinear neutral delay differential equations. We employ Lyapunov’s direct method by constructing a complete Lyapunov functional to obtain the results. Recent results on third order nonlinear delay differential equations are particular cases of our results. |
| URI: | ir.bowen.edu.ng:8080/jspui/handle/123456789/1220 |
| ISSN: | 1817-2172 |
| Appears in Collections: | Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Uniform Stability, Boundedness and Asymptotic Behaviour of Solutions of Some Third Order Nonlinear Delay Differential Equations.pdf | 284.39 kB | Adobe PDF | View/Open |
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