On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments

In this paper, we investigate the instability of solutions to a certain class of nonlinear vector functional differential equations of the eighth order with n-deviating arguments. We employ the Lyapunov-Krasovskii functional approach and base on the Krasovskii criteria to prove two new theorems on t...

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Autor principal: Tunç,Cemil
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2013
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300004
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spelling oai:scielo:S0716-091720130003000042013-09-02On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating argumentsTunç,Cemil Instability Lyapunov functional vector functional differential equation eighth order multiple deviating arguments In this paper, we investigate the instability of solutions to a certain class of nonlinear vector functional differential equations of the eighth order with n-deviating arguments. We employ the Lyapunov-Krasovskii functional approach and base on the Krasovskii criteria to prove two new theorems on the topic. Our results improve certain results in the literature from scalar functional differential equations to their vectorial forms.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.3 20132013-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300004en10.4067/S0716-09172013000300004
institution Scielo Chile
collection Scielo Chile
language English
topic Instability
Lyapunov functional
vector functional differential equation
eighth order
multiple deviating arguments
spellingShingle Instability
Lyapunov functional
vector functional differential equation
eighth order
multiple deviating arguments
Tunç,Cemil
On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
description In this paper, we investigate the instability of solutions to a certain class of nonlinear vector functional differential equations of the eighth order with n-deviating arguments. We employ the Lyapunov-Krasovskii functional approach and base on the Krasovskii criteria to prove two new theorems on the topic. Our results improve certain results in the literature from scalar functional differential equations to their vectorial forms.
author Tunç,Cemil
author_facet Tunç,Cemil
author_sort Tunç,Cemil
title On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
title_short On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
title_full On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
title_fullStr On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
title_full_unstemmed On the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
title_sort on the instability of a kind of vector functional differential equations of the eighth order with multiple deviating arguments
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300004
work_keys_str_mv AT tunccemil ontheinstabilityofakindofvectorfunctionaldifferentialequationsoftheeighthorderwithmultipledeviatingarguments
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