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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Universidad Católica del Norte, Departamento de Matemáticas
2014
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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 AT arawomopo ontheasymptoticbehaviourofsolutionsofcertaindifferentialequationsofthethirdorder |
_version_ |
1718439796030832640 |