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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-2bf79bcc15644461916ed6a16d2f01c0 |
institution | Kabale University |
issn | 2314-4629 2314-4785 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |