Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order

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DC Field	Value	Language
dc.contributor.author	Ademola, T. A.	-
dc.contributor.author	Arawomo, P. O.	-
dc.date.accessioned	2023-03-20T11:24:31Z	-
dc.date.available	2023-03-20T11:24:31Z	-
dc.date.issued	2011	-
dc.identifier.issn	1450-9628	-
dc.identifier.other	ui_art_ademola_stability_2011	-
dc.identifier.other	Kragujevac Journal of Mathematics 35(3), pp. 431-445	-
dc.identifier.uri	http://ir.library.ui.edu.ng/handle/123456789/8091	-
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.subject	Third order differential equations	en_US
dc.subject	Uniform asymptotic stability	en_US
dc.subject	Uniform ultimate boundedness	en_US
dc.subject	Complete Lyapunov function	en_US
dc.subject	Asymptotic behaviour	en_US
dc.title	Stability, boundedness and asymptotic behaviour of solutions of certain nonlinear differential equations of the third order	en_US
dc.type	Article	en_US
Appears in Collections:	scholarly works

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