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On the asymptotic behaviour of solutions of certain differential equations of the third order

In this article, Lyapunov second method is used to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear differential equations of the third order. The results obtained in this investigation include and extend some well known results on third order nonli...

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Published: 2014-03
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/8097
042 |a dc 
720 |a Ademola, T. A.  |e author 
720 |a Arawomo, P. O.  |e author 
260 |c 2014-03 
520 |a In this article, Lyapunov second method is used to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear differential equations of the third order. The results obtained in this investigation include and extend some well known results on third order nonlinear differential equations in the literature. 
024 8 |a 0717-6279 
024 8 |a ui_art_ademola_on_2014 
024 8 |a Proyecciones Journal of Mathematics 33(1), pp. 101-122 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/8097 
653 |a Third order 
653 |a Differential equations 
653 |a Uniform ultimate boundedness 
653 |a Asymptotic behaviour of solutions 
653 |a Complete Lyapunov function 
245 0 0 |a On the asymptotic behaviour of solutions of certain differential equations of the third order