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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Universidad Católica del Norte, Departamento de Matemáticas
2013
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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 |
_version_ |
1718439791679242240 |