On the instability of solutions of an eighth order nonlinear differential equation of retarded type

In this paper, we give some sufficient conditions on the instability of the zero solution of a kind of eighth order nonlinear differential equations of retarded type by using the Lyapunov direct method. The obtained sufficient conditions improve an existing result in the literature.

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Autor principal: Tunc,Cemil
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100004
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spelling oai:scielo:S0716-091720110001000042018-10-30On the instability of solutions of an eighth order nonlinear differential equation of retarded typeTunc,Cemil Instability the Lyapunov direct method delay differential equation eighth order In this paper, we give some sufficient conditions on the instability of the zero solution of a kind of eighth order nonlinear differential equations of retarded type by using the Lyapunov direct method. The obtained sufficient conditions improve an existing result in the literature.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100004en10.4067/S0716-09172011000100004
institution Scielo Chile
collection Scielo Chile
language English
topic Instability
the Lyapunov direct method
delay differential equation
eighth order
spellingShingle Instability
the Lyapunov direct method
delay differential equation
eighth order
Tunc,Cemil
On the instability of solutions of an eighth order nonlinear differential equation of retarded type
description In this paper, we give some sufficient conditions on the instability of the zero solution of a kind of eighth order nonlinear differential equations of retarded type by using the Lyapunov direct method. The obtained sufficient conditions improve an existing result in the literature.
author Tunc,Cemil
author_facet Tunc,Cemil
author_sort Tunc,Cemil
title On the instability of solutions of an eighth order nonlinear differential equation of retarded type
title_short On the instability of solutions of an eighth order nonlinear differential equation of retarded type
title_full On the instability of solutions of an eighth order nonlinear differential equation of retarded type
title_fullStr On the instability of solutions of an eighth order nonlinear differential equation of retarded type
title_full_unstemmed On the instability of solutions of an eighth order nonlinear differential equation of retarded type
title_sort on the instability of solutions of an eighth order nonlinear differential equation of retarded type
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100004
work_keys_str_mv AT tunccemil ontheinstabilityofsolutionsofaneighthordernonlineardifferentialequationofretardedtype
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