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http://ir.library.ui.edu.ng/handle/123456789/8091
Title: | Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order |
Authors: | Ademola, T. A. Arawomo, P. O. |
Keywords: | Third order differential equations Uniform asymptotic stability Uniform ultimate boundedness Complete Lyapunov function Asymptotic behaviour |
Issue Date: | 2011 |
Abstract: | 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. |
URI: | http://ir.library.ui.edu.ng/handle/123456789/8091 |
ISSN: | 1450-9628 |
Appears in Collections: | scholarly works |
Files in This Item:
File | Description | Size | Format | |
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(12) ui_art_ademola_stability_2011.pdf | 803.19 kB | Adobe PDF | View/Open |
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