An instability theorem for a certain sixth order nonlinear delay differential equation

The aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov–Krasovskii functional approach. By this work, we improve an instability result obtained in the literature for a certa...

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Main Author:	Cemil Tunç
Format:	Article
Language:	English
Published:	SpringerOpen 2012-04-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Instability Lyapunov–Krasovskii functional Delay differential equation Sixth order
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X11000290

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record_format	Article
spelling	doaj-9ceeefa03600408f849c990190f323a62020-11-25T02:01:55ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2012-04-01201434510.1016/j.joems.2011.12.006An instability theorem for a certain sixth order nonlinear delay differential equationCemil TunçThe aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov–Krasovskii functional approach. By this work, we improve an instability result obtained in the literature for a certain sixth order nonlinear differential equation without delay to the instability of the zero solution of a certain sixth order nonlinear delay differential equation.http://www.sciencedirect.com/science/article/pii/S1110256X11000290InstabilityLyapunov–Krasovskii functionalDelay differential equationSixth order
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cemil Tunç
spellingShingle	Cemil Tunç An instability theorem for a certain sixth order nonlinear delay differential equation Journal of the Egyptian Mathematical Society Instability Lyapunov–Krasovskii functional Delay differential equation Sixth order
author_facet	Cemil Tunç
author_sort	Cemil Tunç
title	An instability theorem for a certain sixth order nonlinear delay differential equation
title_short	An instability theorem for a certain sixth order nonlinear delay differential equation
title_full	An instability theorem for a certain sixth order nonlinear delay differential equation
title_fullStr	An instability theorem for a certain sixth order nonlinear delay differential equation
title_full_unstemmed	An instability theorem for a certain sixth order nonlinear delay differential equation
title_sort	instability theorem for a certain sixth order nonlinear delay differential equation
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2012-04-01
description	The aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov–Krasovskii functional approach. By this work, we improve an instability result obtained in the literature for a certain sixth order nonlinear differential equation without delay to the instability of the zero solution of a certain sixth order nonlinear delay differential equation.
topic	Instability Lyapunov–Krasovskii functional Delay differential equation Sixth order
url	http://www.sciencedirect.com/science/article/pii/S1110256X11000290
work_keys_str_mv	AT cemiltunc aninstabilitytheoremforacertainsixthordernonlineardelaydifferentialequation AT cemiltunc instabilitytheoremforacertainsixthordernonlineardelaydifferentialequation
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An instability theorem for a certain sixth order nonlinear delay differential equation

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