Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments

We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is...

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Main Author: Cemil Tunç
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/809748
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author Cemil Tunç
author_facet Cemil Tunç
author_sort Cemil Tunç
collection DOAJ
description We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is new and complements some known results.
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-2bf79bcc15644461916ed6a16d2f01c02025-02-03T01:20:54ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/809748809748Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating ArgumentsCemil Tunç0Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyWe study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is new and complements some known results.http://dx.doi.org/10.1155/2013/809748
spellingShingle Cemil Tunç
Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
Journal of Mathematics
title Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
title_full Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
title_fullStr Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
title_full_unstemmed Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
title_short Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments
title_sort instability of a fifth order nonlinear vector delay differential equation with multiple deviating arguments
url http://dx.doi.org/10.1155/2013/809748
work_keys_str_mv AT cemiltunc instabilityofafifthordernonlinearvectordelaydifferentialequationwithmultipledeviatingarguments