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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Autores principales: Ademola,A. T, Arawomo,P. O
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100008
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spelling oai:scielo:S0716-091720140001000082014-01-06On the asymptotic behaviour of solutions of certain differential equations of the third orderAdemola,A. TArawomo,P. O Third order Differential equations Uniform ultimate boundedness Asymptotic behaviour of solutions Complete Lya-punov function. 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.1 20142014-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100008en10.4067/S0716-09172014000100008
institution Scielo Chile
collection Scielo Chile
language English
topic Third order
Differential equations
Uniform ultimate boundedness
Asymptotic behaviour of solutions
Complete Lya-punov function.
spellingShingle Third order
Differential equations
Uniform ultimate boundedness
Asymptotic behaviour of solutions
Complete Lya-punov function.
Ademola,A. T
Arawomo,P. O
On the asymptotic behaviour of solutions of certain differential equations of the third order
description 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.
author Ademola,A. T
Arawomo,P. O
author_facet Ademola,A. T
Arawomo,P. O
author_sort Ademola,A. T
title On the asymptotic behaviour of solutions of certain differential equations of the third order
title_short On the asymptotic behaviour of solutions of certain differential equations of the third order
title_full On the asymptotic behaviour of solutions of certain differential equations of the third order
title_fullStr On the asymptotic behaviour of solutions of certain differential equations of the third order
title_full_unstemmed On the asymptotic behaviour of solutions of certain differential equations of the third order
title_sort on the asymptotic behaviour of solutions of certain differential equations of the third order
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100008
work_keys_str_mv AT ademolaat ontheasymptoticbehaviourofsolutionsofcertaindifferentialequationsofthethirdorder
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